Details

analyze912.0ms (7.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

573×	`associate-/l*_binary64`
341×	`div-exp_binary64`
301×	`exp-sum_binary64`
279×	`associate-/r*_binary64`
227×	`associate-*l/_binary64`
221×	`associate-/r/_binary64`
205×	`associate-/l/_binary64`
202×	`associate-*r/_binary64`
144×	`times-frac_binary64` `sub-neg_binary64`
120×	`associate-+l+_binary64`
112×	`exp-diff_binary64`
104×	`*-commutative_binary64`
96×	`associate-r_binary64`
95×	`+-commutative_binary64`
90×	`exp-prod_binary64`
80×	`associate-l_binary64`
62×	`associate-+r+_binary64`
58×	`associate--l+_binary64`
48×	`unsub-neg_binary64`
46×	`sqr-pow_binary64`
42×	`associate-+r-_binary64`
35×	`+-rgt-identity_binary64`
34×	`exp-to-pow_binary64`
32×	`associate-+l-_binary64`
26×	`cancel-sign-sub-inv_binary64`
20×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
16×	`sub0-neg_binary64`
13×	`prod-exp_binary64`
12×	`neg-sub0_binary64`
10×	`distribute-neg-out_binary64` `distribute-rgt-out_binary64`
6×	`exp-neg_binary64` `rem-exp-log_binary64` `neg-mul-1_binary64` `mul-1-neg_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` `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` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	448
1	300	448
2	715	384
3	2014	384
4	4792	384
5	5349	384
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample124.0ms (1%)

Algorithm

1×

intervals

Results

35.0ms	449×	body	128	nan
23.0ms	256×	body	128	valid
19.0ms	234×	body	128	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-/l/_binary64`
552×	`associate-/r/_binary64`
488×	`associate-*l/_binary64`
386×	`exp-sum_binary64`
352×	`associate-*r/_binary64`
322×	`*-commutative_binary64`
274×	`unswap-sqr_binary64`
210×	`exp-diff_binary64`
184×	`associate-/l*_binary64`
150×	`associate-l_binary64`
133×	`cancel-sign-sub-inv_binary64`
118×	`associate-/r*_binary64`
113×	`times-frac_binary64`
110×	`associate-r_binary64`
109×	`exp-prod_binary64`
107×	`sub-neg_binary64`
105×	`distribute-rgt-in_binary64` `associate--r+_binary64`
88×	`associate--l+_binary64`
65×	`distribute-neg-in_binary64`
64×	`sqr-pow_binary64`
63×	`associate-+l-_binary64`
52×	`associate-+l+_binary64`
46×	`associate-+r+_binary64`
44×	`associate--r-_binary64`
37×	`unsub-neg_binary64`
33×	`distribute-lft-in_binary64`
32×	`pow-sqr_binary64`
29×	`neg-mul-1_binary64`
28×	`+-commutative_binary64`
27×	`distribute-rgt-neg-in_binary64`
25×	`neg-sub0_binary64`
21×	`*-rgt-identity_binary64`
20×	`*-lft-identity_binary64`
19×	`/-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
17×	`div-exp_binary64` `sub0-neg_binary64` `associate--l-_binary64`
15×	`distribute-lft-neg-in_binary64`
13×	`exp-to-pow_binary64` `div-sub_binary64`
12×	`associate-+r-_binary64`
10×	`prod-exp_binary64` `remove-double-neg_binary64`
7×	`+-rgt-identity_binary64`
6×	`exp-neg_binary64` `distribute-rgt-neg-out_binary64`
5×	`distribute-neg-out_binary64`
4×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
3×	`log-pow_binary64` `--rgt-identity_binary64` `distribute-lft-out--_binary64`
2×	`log-div_binary64` `log-prod_binary64` `rem-exp-log_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `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` `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` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	36	28
2	70	24
3	171	24
4	475	24
5	1596	24
6	4045	24
7	4624	24
8	5001	24

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 2

Compiler

Compiled 50 to 47 computations (6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
0.3b	(*.f64 y (log.f64 z))
1.1b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
1.1b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

rewrite191.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

26×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`add-exp-log_binary64` `log-prod_binary64`
10×	`pow1_binary64` `add-log-exp_binary64` `associate-l_binary64`
8×	`associate-r_binary64`
6×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
5×	`exp-prod_binary64` `exp-sum_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/r*_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64` `rem-exp-log_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `exp-diff_binary64` `distribute-lft-out--_binary64` `diff-log_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `log-pow_binary64` `-commutative_binary64` `associate-l/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-r/_binary64` `associate-/l/_binary64` `associate-/l_binary64` `sub-neg_binary64` `associate--l+_binary64` `sum-log_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-sqr-1_binary64`

Counts

4 → 99

Calls

4 calls:

12.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
8.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
7.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
5.0ms	(*.f64 y (log.f64 z))

Compiler

Compiled 2346 to 1133 computations (51.7% saved)

series408.0ms (3.2%)

Error

0.3b

Counts

4 → 66

Calls

4 calls:

195.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
106.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
34.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
30.0ms	(*.f64 y (log.f64 z))

Compiler

Compiled 4064 to 2384 computations (41.3% saved)

simplify190.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

293×	`associate-r_binary64`
265×	`associate-l_binary64`
207×	`distribute-rgt-in_binary64`
182×	`*-commutative_binary64`
174×	`cancel-sign-sub-inv_binary64`
172×	`distribute-lft-in_binary64`
168×	`times-frac_binary64`
155×	`exp-sum_binary64`
154×	`sub-neg_binary64`
124×	`log-prod_binary64`
123×	`associate-/l*_binary64`
98×	`+-commutative_binary64`
84×	`associate-/r*_binary64`
83×	`exp-prod_binary64` `unswap-sqr_binary64`
82×	`associate-*l/_binary64`
76×	`distribute-rgt-neg-in_binary64`
74×	`associate-*r/_binary64`
71×	`log-div_binary64` `exp-diff_binary64`
68×	`log-pow_binary64` `sqr-pow_binary64`
63×	`distribute-lft-neg-in_binary64`
58×	`distribute-rgt-out_binary64`
57×	`distribute-neg-in_binary64`
54×	`associate-+l+_binary64`
47×	`neg-sub0_binary64`
46×	`*-rgt-identity_binary64` `associate-+r+_binary64`
44×	`unsub-neg_binary64`
43×	`neg-mul-1_binary64`
41×	`associate--l+_binary64`
39×	`associate--r+_binary64`
36×	`associate-/r/_binary64`
33×	`distribute-neg-frac_binary64`
30×	`*-lft-identity_binary64`
29×	`associate-/l/_binary64`
28×	`/-rgt-identity_binary64`
25×	`cube-prod_binary64`
19×	`swap-sqr_binary64`
18×	`distribute-lft-neg-out_binary64`
15×	`cube-div_binary64`
14×	`mul-1-neg_binary64` `distribute-rgt1-in_binary64`
11×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
10×	`exp-to-pow_binary64`
9×	`log-rec_binary64` `distribute-rgt-neg-out_binary64`
8×	`cube-unmult_binary64`
7×	`prod-exp_binary64`
6×	`pow-sqr_binary64` `associate-+l-_binary64`
5×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rec-exp_binary64` `exp-neg_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64`
4×	`rem-exp-log_binary64`
3×	`rem-log-exp_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
2×	`div-sub_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`log-E_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `cancel-sign-sub_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` `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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_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` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64`

Counts

165 → 140

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	4624
1	840	3578
2	3075	3360
3	4776	3360
4	4991	3360
5	4965	3360

prune122.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	136	4	140
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	137	5	142

Error

0.0b

Counts

142 → 5

Compiler

Compiled 2436 to 1027 computations (57.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 a t) (exp.f64 b))
0.0b	(/.f64 y (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))))
0.3b	(*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))
0.3b	(/.f64 x (/.f64 y (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))))

rewrite429.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

169×	`add-exp-log_binary64`
132×	`times-frac_binary64`
127×	`div-exp_binary64`
117×	`add-sqr-sqrt_binary64`
69×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
61×	`add-cbrt-cube_binary64`
48×	`prod-exp_binary64`
38×	`unpow-prod-down_binary64`
29×	`cbrt-undiv_binary64`
25×	`pow-to-exp_binary64` `pow-exp_binary64` `associate-l_binary64` `associate-r_binary64`
18×	`sqr-pow_binary64`
16×	`associate-/r/_binary64` `unswap-sqr_binary64`
14×	`associate-/r*_binary64`
13×	`associate-/l*_binary64`
12×	`cbrt-unprod_binary64`
9×	`div-inv_binary64`
6×	`pow1_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64`
4×	`add-log-exp_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 263

Calls

4 calls:

23.0ms	(*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))
17.0ms	(/.f64 y (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))))
16.0ms	(/.f64 x (/.f64 y (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))))
6.0ms	(/.f64 (pow.f64 a t) (exp.f64 b))

Compiler

Compiled 6331 to 1207 computations (80.9% saved)

series663.0ms (5.3%)

Error

0.0b

Counts

4 → 81

Calls

4 calls:

212.0ms	(/.f64 x (/.f64 y (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))))
178.0ms	(/.f64 y (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))))
147.0ms	(*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))
47.0ms	(/.f64 (pow.f64 a t) (exp.f64 b))

Compiler

Compiled 4841 to 2985 computations (38.3% saved)

simplify193.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

632×	`associate-/l*_binary64`
564×	`times-frac_binary64`
418×	`associate-*l/_binary64`
372×	`associate-/r*_binary64`
271×	`associate-/r/_binary64`
214×	`associate-/l/_binary64`
157×	`*-commutative_binary64`
81×	`sub-neg_binary64`
77×	`associate-*r/_binary64`
48×	`associate-r_binary64`
46×	`sqr-pow_binary64`
32×	`+-commutative_binary64`
31×	`unswap-sqr_binary64`
29×	`neg-sub0_binary64`
27×	`neg-mul-1_binary64`
21×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64`
18×	`log-div_binary64`
17×	`exp-prod_binary64`
15×	`distribute-neg-in_binary64`
14×	`associate--r+_binary64`
13×	`associate-l_binary64`
12×	`distribute-rgt-neg-in_binary64`
11×	`/-rgt-identity_binary64` `pow-sqr_binary64`
10×	`cube-unmult_binary64` `associate--l+_binary64`
9×	`associate--r-_binary64`
8×	`prod-exp_binary64` `distribute-lft-neg-in_binary64` `associate-+r+_binary64`
6×	`log-prod_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
5×	`unpow3_binary64` `unpow2_binary64` `unpow1_binary64` `cube-mult_binary64` `swap-sqr_binary64`
4×	`mul-1-neg_binary64` `distribute-lft-out_binary64`
3×	`log-pow_binary64` `log-rec_binary64` `div-exp_binary64`
2×	`pow-base-1_binary64` `rec-exp_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `*-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`exp-to-pow_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `div-sub_binary64` `unsub-neg_binary64` `*-lft-identity_binary64` `remove-double-div_binary64` `distribute-lft-neg-out_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` `unpow1/2_binary64` `pow-plus_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-1-e_binary64` `exp-0_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `associate--l-_binary64` `associate-+l+_binary64`

Counts

344 → 269

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	570	10176
1	1634	9220
2	5007	9220

prune231.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	265	4	269
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	267	7	274

Error

Counts

274 → 7

Compiler

Compiled 4565 to 1118 computations (75.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (.f64 a (exp.f64 b)))
0.0b	(/.f64 (/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (.f64 a (exp.f64 b))) y)
0.5b	(*.f64 (pow.f64 z y) (pow.f64 a t))
0.5b	(.f64 x (/.f64 (/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (*.f64 a (exp.f64 b))) y))

rewrite262.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

221×	`add-exp-log_binary64`
115×	`prod-exp_binary64`
102×	`div-exp_binary64`
61×	`add-cbrt-cube_binary64`
45×	`add-sqr-sqrt_binary64`
42×	`pow-to-exp_binary64` `pow-exp_binary64`
39×	`times-frac_binary64`
28×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
26×	`associate-r_binary64`
22×	`cbrt-undiv_binary64`
19×	`cbrt-unprod_binary64`
12×	`unpow-prod-down_binary64`
11×	`unswap-sqr_binary64`
10×	`associate-l_binary64` `div-inv_binary64`
8×	`sqr-pow_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `associate-/r*_binary64`
2×	`*-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`pow-prod-down_binary64` `associate-*r/_binary64` `associate-/l/_binary64`

Counts

4 → 200

Calls

4 calls:

17.0ms	(.f64 x (/.f64 (/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (*.f64 a (exp.f64 b))) y))
11.0ms	(/.f64 (/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (.f64 a (exp.f64 b))) y)
10.0ms	(/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (.f64 a (exp.f64 b)))
7.0ms	(*.f64 (pow.f64 z y) (pow.f64 a t))

Compiler

Compiled 4346 to 718 computations (83.5% saved)

series651.0ms (5.2%)

Error

Counts

4 → 81

Calls

4 calls:

211.0ms	(.f64 x (/.f64 (/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (*.f64 a (exp.f64 b))) y))
160.0ms	(/.f64 (/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (.f64 a (exp.f64 b))) y)
140.0ms	(/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (.f64 a (exp.f64 b)))
83.0ms	(*.f64 (pow.f64 z y) (pow.f64 a t))

Compiler

Compiled 4638 to 2956 computations (36.3% saved)

simplify154.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

771×	`times-frac_binary64`
593×	`associate-/l*_binary64`
392×	`associate-l_binary64`
378×	`associate-/r*_binary64`
212×	`associate-*r/_binary64`
171×	`associate-*l/_binary64`
128×	`associate-/l/_binary64`
121×	`*-commutative_binary64`
75×	`associate-/r/_binary64`
59×	`sub-neg_binary64`
41×	`unswap-sqr_binary64` `+-commutative_binary64`
37×	`sqr-pow_binary64` `associate-r_binary64`
23×	`exp-prod_binary64` `neg-sub0_binary64`
21×	`neg-mul-1_binary64`
17×	`cancel-sign-sub-inv_binary64`
16×	`log-div_binary64`
15×	`distribute-rgt-neg-in_binary64`
14×	`distribute-neg-frac_binary64` `associate--l+_binary64`
12×	`log-prod_binary64` `swap-sqr_binary64` `distribute-lft-neg-in_binary64`
11×	`associate-+r-_binary64` `associate-+r+_binary64`
10×	`cube-unmult_binary64` `pow-sqr_binary64`
9×	`distribute-neg-in_binary64`
8×	`prod-exp_binary64` `associate--l-_binary64`
7×	`associate--r+_binary64`
6×	`/-rgt-identity_binary64`
4×	`mul-1-neg_binary64`
3×	`log-pow_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1_binary64` `cube-mult_binary64`
2×	`log-rec_binary64` `pow-base-1_binary64` `div-exp_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`exp-to-pow_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `div-sub_binary64` `unsub-neg_binary64` `distribute-rgt1-in_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` `unpow1/2_binary64` `pow-plus_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

281 → 217

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	402	8021
1	1136	7177
2	5157	7177

prune133.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	217	7	224

Error

Counts

224 → 7

Compiler

Compiled 2803 to 776 computations (72.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (.f64 a (exp.f64 b)))
0.1b	(.f64 x (/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (*.f64 a (exp.f64 b))))
0.5b	(*.f64 (pow.f64 z y) (pow.f64 a t))
1.1b	(.f64 (/.f64 1 y) (.f64 x (/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (.f64 a (exp.f64 b)))))

rewrite286.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

516×	`add-exp-log_binary64`
370×	`prod-exp_binary64`
164×	`div-exp_binary64`
92×	`add-cbrt-cube_binary64`
78×	`pow-to-exp_binary64` `pow-exp_binary64`
44×	`cbrt-unprod_binary64`
31×	`add-sqr-sqrt_binary64`
23×	`associate-l_binary64`
22×	`1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64`
17×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`associate-r_binary64`
12×	`unpow-prod-down_binary64`
11×	`pow1_binary64` `times-frac_binary64`
10×	`unswap-sqr_binary64`
8×	`sqr-pow_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-*r/_binary64`
3×	`div-inv_binary64` `*-commutative_binary64`
1×	`frac-times_binary64` `associate-l/_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-/r*_binary64`

Counts

4 → 250

Calls

4 calls:

18.0ms	(.f64 (/.f64 1 y) (.f64 x (/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (.f64 a (exp.f64 b)))))
12.0ms	(.f64 x (/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (*.f64 a (exp.f64 b))))
9.0ms	(/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (.f64 a (exp.f64 b)))
7.0ms	(*.f64 (pow.f64 z y) (pow.f64 a t))

Compiler

Compiled 5003 to 1173 computations (76.6% saved)

series726.0ms (5.8%)

Error

Counts

4 → 93

Calls

4 calls:

210.0ms	(.f64 (/.f64 1 y) (.f64 x (/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (.f64 a (exp.f64 b)))))
204.0ms	(.f64 x (/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (*.f64 a (exp.f64 b))))
151.0ms	(/.f64 (.f64 (pow.f64 z y) (pow.f64 a t)) (.f64 a (exp.f64 b)))
89.0ms	(*.f64 (pow.f64 z y) (pow.f64 a t))

Compiler

Compiled 5897 to 3707 computations (37.1% saved)

simplify184.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

769×	`times-frac_binary64`
619×	`associate-/l*_binary64`
558×	`associate-l_binary64`
353×	`associate-/r*_binary64`
248×	`associate-*r/_binary64`
224×	`associate-*l/_binary64`
150×	`*-commutative_binary64`
77×	`associate-r_binary64`
64×	`+-commutative_binary64`
62×	`associate-+r+_binary64`
53×	`associate-/r/_binary64`
50×	`sub-neg_binary64`
48×	`unswap-sqr_binary64`
46×	`sqr-pow_binary64`
28×	`exp-prod_binary64`
24×	`associate-+l-_binary64`
21×	`neg-sub0_binary64`
19×	`neg-mul-1_binary64`
17×	`swap-sqr_binary64`
16×	`log-prod_binary64` `associate-/l/_binary64`
14×	`associate--l+_binary64`
13×	`distribute-rgt-neg-in_binary64`
12×	`log-div_binary64` `cancel-sign-sub-inv_binary64`
11×	`cube-unmult_binary64`
10×	`pow-sqr_binary64` `distribute-lft-neg-in_binary64` `associate-+r-_binary64`
9×	`*-lft-identity_binary64` `distribute-neg-in_binary64`
8×	`prod-exp_binary64`
7×	`distribute-neg-frac_binary64` `associate--r+_binary64`
5×	`unpow3_binary64` `unpow2_binary64` `unpow1_binary64` `cube-mult_binary64`
4×	`div-exp_binary64` `mul-1-neg_binary64` `*-rgt-identity_binary64` `distribute-lft-out_binary64`
3×	`log-pow_binary64` `log-rec_binary64`
2×	`pow-base-1_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `sub0-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`exp-to-pow_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `unpow1/2_binary64` `pow-plus_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `remove-double-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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l+_binary64`

Counts

343 → 317

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	467	10567
1	1282	8901
2	5496	8901

prune168.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	315	2	317
Fresh	2	1	3
Picked	1	0	1
Done	0	3	3
Total	318	6	324

Error

Counts

324 → 6

Compiler

Compiled 3715 to 1150 computations (69% saved)

regimes2.5s (19.9%)

Accuracy

Total 1.9b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 35223 to 29306 computations (16.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`sub-neg_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_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` `exp-1-e_binary64` `exp-0_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-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	28	28
2	32	28
3	34	28
4	35	28
5	33	28

end1.0ms (0%)

Compiler: Compiled 18 to 17 computations (5.6% saved)

sample3.9s (31.2%)

Algorithm

1×

intervals

Results

1.0s	14312×	body	128	nan
686.0ms	8000×	body	128	valid
598.0ms	7030×	body	128	invalid

Compiler

Compiled 195 to 188 computations (3.6% saved)

Details

analyze912.0ms (7.2%)

sample124.0ms (1%)

simplify62.0ms (0.5%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite191.0ms (1.5%)

series408.0ms (3.2%)

simplify190.0ms (1.5%)

prune122.0ms (1%)

localize13.0ms (0.1%)

rewrite429.0ms (3.4%)

series663.0ms (5.3%)

simplify193.0ms (1.5%)

prune231.0ms (1.8%)

localize13.0ms (0.1%)

rewrite262.0ms (2.1%)

series651.0ms (5.2%)

simplify154.0ms (1.2%)

prune133.0ms (1.1%)

localize14.0ms (0.1%)

rewrite286.0ms (2.3%)

series726.0ms (5.8%)

simplify184.0ms (1.5%)

prune168.0ms (1.3%)

regimes2.5s (19.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample3.9s (31.2%)

Profiling