Details

analyze540.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

824×	`sub-neg_binary64`
462×	`cancel-sign-sub-inv_binary64`
447×	`neg-mul-1_binary64`
422×	`+-commutative_binary64`
417×	`distribute-neg-in_binary64`
377×	`neg-sub0_binary64`
351×	`associate--l+_binary64`
299×	`distribute-rgt-neg-in_binary64`
277×	`associate--r-_binary64`
247×	`associate-+l+_binary64`
233×	`distribute-lft-neg-in_binary64`
230×	`associate-+r+_binary64`
228×	`associate--r+_binary64`
203×	`associate-+l-_binary64`
166×	`unsub-neg_binary64`
164×	`distribute-rgt-in_binary64`
151×	`associate-+r-_binary64`
124×	`distribute-neg-out_binary64`
95×	`sub0-neg_binary64`
92×	`div-sub_binary64`
87×	`associate--l-_binary64`
74×	`remove-double-neg_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`
68×	`distribute-lft-neg-out_binary64`
62×	`cancel-sign-sub_binary64`
35×	`+-rgt-identity_binary64`
25×	`distribute-rgt-neg-out_binary64`
22×	`associate-l_binary64`
20×	`distribute-rgt-out_binary64`
19×	`--rgt-identity_binary64`
17×	`associate-r_binary64`
16×	`distribute-neg-frac_binary64`
8×	`-lft-identity_binary64` `associate-l/_binary64`
4×	`+-lft-identity_binary64` `distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`div0_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	144
1	107	144
2	275	144
3	661	144
4	1543	144
5	2603	144
6	3873	144
7	4716	144
8	4975	144
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
10.9%	45.6%	43.4%	10
18.3%	31.4%	50.3%	11
19.1%	29.5%	51.3%	12
21.4%	24.8%	53.8%	13
25.8%	16.7%	57.5%	14

Compiler

Compiled 25 to 21 computations (16% saved)

sample38.0ms (0.5%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
2.0ms	36×	body	128	invalid
2.0ms	28×	body	128	nan

Compiler

Compiled 49 to 44 computations (10.2% saved)

simplify116.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

699×	`sub-neg_binary64`
691×	`associate-/l*_binary64`
439×	`div-sub_binary64`
424×	`unsub-neg_binary64`
403×	`neg-mul-1_binary64`
398×	`distribute-neg-in_binary64`
354×	`neg-sub0_binary64`
326×	`associate-/r*_binary64`
293×	`cancel-sign-sub-inv_binary64`
235×	`distribute-rgt-in_binary64`
222×	`+-commutative_binary64`
218×	`distribute-rgt-neg-in_binary64`
217×	`distribute-frac-neg_binary64`
210×	`associate--l+_binary64`
195×	`*-commutative_binary64`
185×	`distribute-neg-frac_binary64`
184×	`associate--r+_binary64`
183×	`distribute-lft-neg-out_binary64`
171×	`distribute-lft-neg-in_binary64`
170×	`associate-/r/_binary64` `associate-+l+_binary64`
156×	`associate-l_binary64`
142×	`associate-+r+_binary64`
136×	`associate-+l-_binary64`
122×	`associate--l-_binary64`
97×	`distribute-rgt-neg-out_binary64`
84×	`distribute-lft-in_binary64`
78×	`*-rgt-identity_binary64`
77×	`associate-*l/_binary64`
69×	`div0_binary64`
65×	`associate-r_binary64`
64×	`associate--r-_binary64`
57×	`remove-double-neg_binary64`
54×	`/-rgt-identity_binary64`
45×	`cancel-sign-sub_binary64`
41×	`associate-+r-_binary64`
37×	`sub0-neg_binary64`
36×	`*-lft-identity_binary64`
35×	`distribute-rgt-out_binary64`
33×	`distribute-neg-out_binary64`
27×	`distribute-lft-out_binary64`
26×	`associate-*r/_binary64`
22×	`distribute-rgt-out--_binary64`
17×	`log-div_binary64`
16×	`log-prod_binary64`
15×	`distribute-lft-out--_binary64`
14×	`+-rgt-identity_binary64`
8×	`+-lft-identity_binary64`
7×	`mul0-rgt_binary64` `mul0-lft_binary64`
4×	`log-rec_binary64`
3×	`--rgt-identity_binary64` `associate-/l/_binary64`
2×	`distribute-rgt1-in_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	36
1	40	36
2	91	36
3	200	36
4	445	36
5	810	36
6	1515	36
7	2110	36
8	2561	36
9	3874	36
10	4558	36
11	4855	36
12	4823	36

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

6.0b

Counts

2 → 1

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
5.5b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite257.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

5.8b

Rules

26×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
18×	`log-prod_binary64`
12×	`associate--l+_binary64`
11×	`add-log-exp_binary64`
10×	`associate-+l+_binary64`
9×	`times-frac_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`associate-l_binary64`
4×	`associate-r_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `diff-log_binary64` `sum-log_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-*l/_binary64` `flip--_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `log-pow_binary64` `*-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

11.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
11.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
11.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
7.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 3303 to 2190 computations (33.7% saved)

series199.0ms (2.4%)

Error

4.2b

Counts

4 → 33

Calls

4 calls:

90.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
25.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
25.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
20.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 2157 to 1702 computations (21.1% saved)

simplify135.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

590×	`distribute-rgt-in_binary64`
564×	`distribute-lft-in_binary64`
190×	`times-frac_binary64`
153×	`associate-/r*_binary64`
141×	`associate-/l*_binary64`
136×	`sub-neg_binary64`
113×	`exp-sum_binary64`
101×	`exp-prod_binary64` `cancel-sign-sub-inv_binary64`
87×	`*-commutative_binary64`
82×	`associate-l_binary64`
80×	`+-commutative_binary64`
66×	`associate-r_binary64`
57×	`exp-diff_binary64`
55×	`distribute-rgt-neg-in_binary64`
52×	`distribute-neg-in_binary64`
50×	`distribute-lft-neg-out_binary64`
46×	`neg-sub0_binary64`
43×	`log-prod_binary64` `neg-mul-1_binary64`
42×	`distribute-rgt-neg-out_binary64`
41×	`associate-/l/_binary64`
40×	`distribute-lft-neg-in_binary64`
29×	`unsub-neg_binary64` `associate-/r/_binary64` `associate--l+_binary64`
28×	`distribute-rgt-out_binary64`
24×	`sqr-pow_binary64`
23×	`unswap-sqr_binary64` `associate--r+_binary64`
20×	`associate-+l+_binary64`
18×	`distribute-lft-out_binary64`
16×	`log-div_binary64` `exp-to-pow_binary64` `associate-*l/_binary64`
15×	`cube-prod_binary64` `associate-*r/_binary64` `associate-+l-_binary64`
14×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64`
12×	`div-sub_binary64` `swap-sqr_binary64` `associate-+r-_binary64`
11×	`associate-+r+_binary64`
10×	`unpow3_binary64`
8×	`exp-neg_binary64`
7×	`prod-exp_binary64`
6×	`div-exp_binary64` `mul-1-neg_binary64` `distribute-neg-frac_binary64` `associate--l-_binary64`
5×	`unpow1/2_binary64` `distribute-lft-out--_binary64`
4×	`cube-unmult_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64`
3×	`cube-mult_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64`
1×	`log-pow_binary64` `log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `pow-sqr_binary64` `count-2_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64`

Counts

135 → 120

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	246	2784
1	574	2580
2	1488	2452
3	4734	2450
4	4967	2450

prune174.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	112	8	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	8	121

Error

3.1b

Counts

121 → 8

Compiler

Compiled 3121 to 2104 computations (32.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
0.3b	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
3.8b	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
11.1b	(/.f64 (*.f64 z z) x)

rewrite296.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`add-cube-cbrt_binary64`
17×	`times-frac_binary64` `associate-r_binary64`
10×	`associate-l_binary64` `associate-+l+_binary64`
9×	`add-log-exp_binary64`
8×	`pow1_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64`
6×	`log-prod_binary64` `associate--l+_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64`
4×	`unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`div-inv_binary64` `associate-/r_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-r/_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow-prod-down_binary64` `frac-times_binary64` `distribute-lft-out_binary64` `*-commutative_binary64` `sum-log_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-l/_binary64` `diff-log_binary64` `associate-+l-_binary64` `sub-neg_binary64` `+-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

11.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
9.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
9.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
5.0ms	(/.f64 (*.f64 z z) x)

Compiler

Compiled 3986 to 2149 computations (46.1% saved)

series144.0ms (1.7%)

Error

3.1b

Counts

4 → 29

Calls

4 calls:

50.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
24.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
22.0ms	(/.f64 (*.f64 z z) x)
22.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2047 to 1549 computations (24.3% saved)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Rules

633×	`associate-/l*_binary64`
492×	`distribute-rgt-in_binary64`
475×	`distribute-lft-in_binary64`
228×	`associate-/l/_binary64`
193×	`associate-/r/_binary64`
133×	`associate-*l/_binary64`
131×	`*-commutative_binary64`
121×	`associate-l_binary64`
114×	`associate-*r/_binary64`
93×	`sub-neg_binary64`
88×	`associate-r_binary64`
51×	`+-commutative_binary64`
41×	`times-frac_binary64`
38×	`exp-prod_binary64`
37×	`unswap-sqr_binary64`
33×	`log-div_binary64`
30×	`sqr-pow_binary64`
29×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-neg-in_binary64`
26×	`log-prod_binary64`
25×	`distribute-rgt-neg-in_binary64` `associate-/r*_binary64`
24×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64`
21×	`distribute-rgt-neg-out_binary64`
20×	`exp-sum_binary64` `cube-div_binary64`
19×	`distribute-lft-neg-in_binary64`
18×	`*-rgt-identity_binary64`
16×	`unsub-neg_binary64` `swap-sqr_binary64` `associate-+l-_binary64`
15×	`cube-prod_binary64`
14×	`*-lft-identity_binary64` `associate--l+_binary64` `associate-+r-_binary64`
13×	`associate-+l+_binary64`
12×	`associate--r+_binary64`
9×	`cube-unmult_binary64`
6×	`/-rgt-identity_binary64`
5×	`exp-diff_binary64` `pow-sqr_binary64` `associate-+r+_binary64`
3×	`div-exp_binary64` `prod-exp_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-neg-frac_binary64`
2×	`log-rec_binary64` `unpow3_binary64` `pow-plus_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `div-sub_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`

Counts

141 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	2037
1	649	1798
2	1857	1782
3	5016	1782

prune156.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Error

0.0b

Counts

105 → 9

Compiler

Compiled 2440 to 1405 computations (42.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
0.2b	(*.f64 z (/.f64 z x))
0.3b	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
3.8b	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite340.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-sqr-sqrt_binary64`
30×	`associate-r_binary64`
28×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`times-frac_binary64`
13×	`pow1_binary64`
10×	`associate-+l+_binary64`
9×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64`
7×	`associate-r/_binary64` `associate-l*_binary64`
6×	`log-prod_binary64` `associate--l+_binary64`
5×	`pow-prod-down_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `unswap-sqr_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64` `cancel-sign-sub-inv_binary64`
2×	`frac-times_binary64` `distribute-lft-out_binary64` `div-inv_binary64` `sum-log_binary64`
1×	`associate-*l/_binary64` `diff-log_binary64` `associate-+l-_binary64` `sub-neg_binary64` `+-commutative_binary64`

Counts

4 → 116

Calls

4 calls:

10.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
10.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
7.0ms	(*.f64 z (/.f64 z x))
6.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 4084 to 2181 computations (46.6% saved)

series138.0ms (1.7%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

49.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
25.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
23.0ms	(*.f64 z (/.f64 z x))
18.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2047 to 1528 computations (25.4% saved)

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

505×	`distribute-rgt-in_binary64`
487×	`distribute-lft-in_binary64`
447×	`associate-/l*_binary64`
403×	`associate-/r*_binary64`
238×	`associate-l_binary64`
172×	`associate-r_binary64`
156×	`*-commutative_binary64`
124×	`associate-/l/_binary64`
92×	`associate-/r/_binary64`
87×	`sub-neg_binary64`
81×	`associate-*r/_binary64`
65×	`associate-*l/_binary64`
59×	`exp-prod_binary64`
54×	`+-commutative_binary64`
34×	`sqr-pow_binary64`
33×	`unswap-sqr_binary64`
32×	`log-prod_binary64` `*-lft-identity_binary64`
30×	`*-rgt-identity_binary64`
28×	`distribute-neg-in_binary64`
26×	`times-frac_binary64` `swap-sqr_binary64`
25×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-neg-out_binary64`
22×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-neg-in_binary64`
18×	`log-div_binary64` `cube-prod_binary64`
17×	`associate-+l-_binary64`
16×	`exp-sum_binary64` `unsub-neg_binary64` `distribute-lft-neg-in_binary64` `associate-+l+_binary64`
13×	`associate-+r-_binary64`
12×	`cube-div_binary64` `associate--l+_binary64` `associate--r+_binary64`
10×	`cube-unmult_binary64`
8×	`/-rgt-identity_binary64`
6×	`pow-sqr_binary64`
5×	`exp-diff_binary64` `associate-+r+_binary64`
3×	`div-exp_binary64` `prod-exp_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-out_binary64`
2×	`log-pow_binary64` `log-rec_binary64` `unpow3_binary64` `pow-plus_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`

Counts

145 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	2047
1	623	1790
2	1910	1774
3	5257	1774

prune155.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	104	8	112

Error

0.0b

Counts

112 → 8

Compiler

Compiled 2440 to 1397 computations (42.7% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
3.8b	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite184.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`pow-prod-down_binary64` `pow1/3_binary64`
2×	`flip3-+_binary64` `frac-times_binary64` `flip-+_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `associate-l_binary64` `distribute-lft-out_binary64` `-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

9.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2792 to 1402 computations (49.8% saved)

series136.0ms (1.6%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

53.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
21.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)

Compiler

Compiled 2221 to 1555 computations (30% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Rules

644×	`associate-*r/_binary64`
432×	`associate-/r*_binary64`
346×	`distribute-rgt-in_binary64`
341×	`distribute-lft-in_binary64`
329×	`associate-/l*_binary64`
178×	`associate-l_binary64`
174×	`log-div_binary64`
131×	`associate-r_binary64`
89×	`*-commutative_binary64`
66×	`associate-/l/_binary64`
56×	`exp-prod_binary64` `unswap-sqr_binary64`
40×	`log-prod_binary64`
39×	`times-frac_binary64` `associate-/r/_binary64`
36×	`associate-*l/_binary64`
30×	`swap-sqr_binary64`
29×	`sqr-pow_binary64`
25×	`cube-prod_binary64`
20×	`sub-neg_binary64`
17×	`+-commutative_binary64`
15×	`cube-div_binary64`
13×	`distribute-rgt-neg-in_binary64`
12×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-lft-neg-in_binary64`
10×	`distribute-rgt-out_binary64`
9×	`log-pow_binary64` `cube-unmult_binary64` `cancel-sign-sub-inv_binary64`
7×	`neg-sub0_binary64` `distribute-lft-neg-out_binary64`
6×	`neg-mul-1_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64` `associate-+l+_binary64`
5×	`pow-plus_binary64`
4×	`exp-sum_binary64` `rem-sqrt-square_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
3×	`associate-+r-_binary64`
2×	`unpow1/3_binary64` `distribute-neg-in_binary64` `count-2_binary64` `associate-+r+_binary64`
1×	`log-rec_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-mult_binary64` `rem-3cbrt-lft_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `unsub-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

82 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	942
1	291	822
2	1107	816
3	4995	816
4	5194	816

prune76.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	55	8	63

Error

0.0b

Counts

63 → 8

Compiler

Compiled 1320 to 700 computations (47% saved)

regimes3.6s (42.7%)

Accuracy

Total 0.3b remaining (85.4%)

Threshold costs 0.3b (85.4%)

Compiler

Compiled 65244 to 51014 computations (21.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
9×	`*-commutative_binary64`
7×	`sub-neg_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`distribute-neg-frac_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	65
1	49	65
2	61	65
3	69	65
4	75	65
5	78	65
6	79	65
7	77	65

end1.0ms (0%)

Compiler: Compiled 42 to 29 computations (31% saved)

sample1.3s (16%)

Algorithm

1×

intervals

Results

563.0ms	8000×	body	128	valid
82.0ms	1159×	body	128	invalid
49.0ms	770×	body	128	nan

Compiler

Compiled 373 to 289 computations (22.5% saved)

Details

analyze540.0ms (6.5%)

sample38.0ms (0.5%)

simplify116.0ms (1.4%)

prune3.0ms (0%)

localize17.0ms (0.2%)

rewrite257.0ms (3.1%)

series199.0ms (2.4%)

simplify135.0ms (1.6%)

prune174.0ms (2.1%)

localize20.0ms (0.2%)

rewrite296.0ms (3.6%)

series144.0ms (1.7%)

simplify86.0ms (1%)

prune156.0ms (1.9%)

localize19.0ms (0.2%)

rewrite340.0ms (4.1%)

series138.0ms (1.7%)

simplify90.0ms (1.1%)

prune155.0ms (1.9%)

localize28.0ms (0.3%)

rewrite184.0ms (2.2%)

series136.0ms (1.6%)

simplify85.0ms (1%)

prune76.0ms (0.9%)

regimes3.6s (42.7%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample1.3s (16%)

Profiling