Details

analyze2.2s (14.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

956×	`times-frac_binary64`
420×	`cancel-sign-sub-inv_binary64`
370×	`div-sub_binary64`
365×	`sub-neg_binary64`
316×	`associate-r_binary64`
288×	`associate-l_binary64`
238×	`distribute-rgt-neg-in_binary64`
223×	`distribute-lft-neg-in_binary64`
220×	`associate-/l*_binary64`
133×	`neg-mul-1_binary64` `neg-sub0_binary64`
125×	`*-commutative_binary64`
124×	`+-commutative_binary64`
117×	`associate-/r*_binary64`
55×	`associate-+l-_binary64`
53×	`associate-+r-_binary64`
38×	`associate-+l+_binary64` `associate-+r+_binary64`
32×	`unsub-neg_binary64`
18×	`associate--r+_binary64`
16×	`distribute-neg-in_binary64`
15×	`distribute-lft-neg-out_binary64`
2×	`associate--r-_binary64`
1×	`swap-x-y` `swap-t-a`
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` `1-exp_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `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` `sqr-pow_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-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	616
1	421	616
2	1099	616
3	3170	616
4	5039	616
0	7	7
1	7	7

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
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Symmetry

(sort x y)

(sort t a)

Compiler

Compiled 20 to 19 computations (5% saved)

sample65.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
8.0ms	139×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

588×	`distribute-neg-frac_binary64`
554×	`associate-*l/_binary64`
502×	`associate-/r/_binary64`
499×	`div-sub_binary64`
465×	`cancel-sign-sub-inv_binary64`
408×	`associate-/r*_binary64`
360×	`associate-l_binary64`
354×	`associate-/l*_binary64`
290×	`neg-mul-1_binary64`
272×	`neg-sub0_binary64`
264×	`associate-/l/_binary64`
208×	`sub-neg_binary64`
150×	`times-frac_binary64`
144×	`distribute-rgt-neg-in_binary64`
136×	`distribute-lft-neg-in_binary64`
101×	`*-rgt-identity_binary64`
77×	`associate-r_binary64`
69×	`unsub-neg_binary64`
51×	`*-commutative_binary64`
46×	`distribute-rgt-in_binary64`
35×	`+-lft-identity_binary64`
30×	`+-commutative_binary64`
29×	`distribute-lft-in_binary64`
27×	`div0_binary64`
25×	`distribute-rgt-neg-out_binary64` `associate-*r/_binary64`
23×	`distribute-lft-neg-out_binary64`
22×	`*-lft-identity_binary64` `remove-double-neg_binary64`
21×	`sub0-neg_binary64`
19×	`cancel-sign-sub_binary64`
18×	`distribute-frac-neg_binary64`
17×	`distribute-neg-in_binary64`
15×	`associate--r+_binary64` `associate-+l-_binary64`
14×	`/-rgt-identity_binary64` `mul0-rgt_binary64`
13×	`associate--r-_binary64`
12×	`mul0-lft_binary64`
9×	`associate-+r-_binary64`
7×	`+-rgt-identity_binary64` `distribute-neg-out_binary64` `associate-+r+_binary64`
6×	`associate--l+_binary64` `associate-+l+_binary64`
5×	`associate--l-_binary64`
3×	`--rgt-identity_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `*-inverses_binary64` `distribute-lft-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` `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` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	28
1	41	28
2	107	28
3	317	28
4	739	25
5	1734	25
6	4288	25
7	4783	25
8	4917	25

prune6.0ms (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

5.7b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 x 9) y)
0.7b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
2.5b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
8.0b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite185.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

21×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
18×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`associate-/l/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
8.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2498 to 1424 computations (43% saved)

series444.0ms (3%)

Error

4.5b

Counts

4 → 102

Calls

4 calls:

204.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
136.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
62.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
16.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3005 to 2752 computations (8.4% saved)

simplify180.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

524×	`*-commutative_binary64`
335×	`div-sub_binary64`
253×	`cancel-sign-sub-inv_binary64`
250×	`associate-/l*_binary64`
192×	`distribute-rgt-in_binary64`
182×	`associate-l_binary64`
170×	`associate-*l/_binary64`
168×	`distribute-lft-in_binary64`
150×	`associate-r_binary64`
148×	`neg-sub0_binary64`
145×	`neg-mul-1_binary64`
137×	`distribute-rgt-neg-in_binary64`
127×	`associate-*r/_binary64`
109×	`unsub-neg_binary64`
106×	`distribute-lft-neg-in_binary64`
104×	`associate-/r*_binary64`
103×	`associate-/l/_binary64`
98×	`exp-prod_binary64` `times-frac_binary64`
95×	`cube-prod_binary64`
66×	`associate-/r/_binary64`
53×	`sub-neg_binary64`
47×	`+-commutative_binary64`
43×	`distribute-lft-out_binary64`
42×	`distribute-lft-neg-out_binary64`
41×	`sqr-pow_binary64`
37×	`associate-+l+_binary64`
35×	`distribute-rgt-out_binary64`
34×	`associate-+r+_binary64`
33×	`swap-sqr_binary64`
32×	`log-prod_binary64`
29×	`associate-+r-_binary64`
28×	`associate-+l-_binary64`
26×	`unpow3_binary64`
25×	`distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
22×	`exp-sum_binary64`
20×	`distribute-lft-out--_binary64`
18×	`distribute-rgt-out--_binary64`
17×	`exp-diff_binary64`
15×	`log-div_binary64` `*-rgt-identity_binary64`
14×	`cube-mult_binary64`
11×	`cube-neg_binary64` `distribute-neg-in_binary64`
10×	`*-lft-identity_binary64`
9×	`cube-unmult_binary64`
8×	`sqr-neg_binary64` `/-rgt-identity_binary64` `associate--l-_binary64` `associate--l+_binary64`
7×	`cube-div_binary64` `associate--r-_binary64`
5×	`associate--r+_binary64`
3×	`mul-1-neg_binary64` `distribute-neg-out_binary64`
1×	`unpow1/2_binary64` `unpow-1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-frac-neg_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_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` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

189 → 130

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	4314
1	500	4061
2	1614	3983
3	3793	3851
4	4978	3851
5	4945	3851

prune105.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	120	10	130
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	121	11	132

Error

4.5b

Counts

132 → 11

Compiler

Compiled 2169 to 1212 computations (44.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 y -9))
0.7b	(+.f64 (/.f64 (-.f64 (.f64 x (.f64 y -9)) b) (neg.f64 z)) (.f64 (.f64 t a) -4))
2.5b	(/.f64 (-.f64 (.f64 x (.f64 y -9)) b) (neg.f64 z))
8.0b	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 x (.f64 y -9)) b) (neg.f64 z)) (.f64 (.f64 t a) -4)) c)

rewrite224.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

39×	`times-frac_binary64`
36×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`
12×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
9×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
4×	`div-sub_binary64` `associate-/l/_binary64` `neg-mul-1_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `associate-+l-_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `flip--_binary64` `sum-log_binary64` `+-commutative_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 118

Calls

4 calls:

19.0ms	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 x (.f64 y -9)) b) (neg.f64 z)) (.f64 (.f64 t a) -4)) c)
18.0ms	(+.f64 (/.f64 (-.f64 (.f64 x (.f64 y -9)) b) (neg.f64 z)) (.f64 (.f64 t a) -4))
9.0ms	(/.f64 (-.f64 (.f64 x (.f64 y -9)) b) (neg.f64 z))
5.0ms	(.f64 x (.f64 y -9))

Compiler

Compiled 3397 to 1833 computations (46% saved)

series447.0ms (3%)

Error

4.4b

Counts

4 → 102

Calls

4 calls:

205.0ms	(/.f64 (+.f64 (/.f64 (-.f64 (.f64 x (.f64 y -9)) b) (neg.f64 z)) (.f64 (.f64 t a) -4)) c)
138.0ms	(+.f64 (/.f64 (-.f64 (.f64 x (.f64 y -9)) b) (neg.f64 z)) (.f64 (.f64 t a) -4))
67.0ms	(/.f64 (-.f64 (.f64 x (.f64 y -9)) b) (neg.f64 z))
16.0ms	(.f64 x (.f64 y -9))

Compiler

Compiled 3035 to 2773 computations (8.6% saved)

simplify182.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

591×	`times-frac_binary64`
449×	`div-sub_binary64`
258×	`distribute-rgt-in_binary64`
256×	`cancel-sign-sub-inv_binary64`
158×	`associate-l_binary64` `associate-r_binary64`
148×	`associate-/l*_binary64`
144×	`distribute-rgt-neg-in_binary64`
121×	`exp-prod_binary64` `distribute-lft-neg-in_binary64`
101×	`*-commutative_binary64`
87×	`sub-neg_binary64`
86×	`associate-/r*_binary64`
85×	`cube-prod_binary64`
84×	`neg-sub0_binary64` `distribute-lft-neg-out_binary64`
73×	`neg-mul-1_binary64`
71×	`distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
60×	`associate-/l/_binary64`
55×	`distribute-frac-neg_binary64`
47×	`distribute-rgt-out_binary64`
42×	`associate-*l/_binary64`
39×	`distribute-lft-in_binary64`
38×	`sqr-pow_binary64`
32×	`swap-sqr_binary64` `distribute-neg-in_binary64`
31×	`+-commutative_binary64`
30×	`associate-*r/_binary64`
26×	`distribute-lft-out_binary64` `associate-/r/_binary64`
23×	`unpow3_binary64`
19×	`cube-mult_binary64`
18×	`log-div_binary64` `log-prod_binary64` `exp-diff_binary64`
17×	`cube-div_binary64`
15×	`unsub-neg_binary64` `*-rgt-identity_binary64`
11×	`distribute-neg-out_binary64`
10×	`exp-sum_binary64` `cube-neg_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
9×	`sqr-neg_binary64`
8×	`cube-unmult_binary64`
7×	`distribute-lft-out--_binary64`
6×	`associate--l+_binary64`
5×	`div0_binary64` `associate-+l+_binary64`
4×	`log-rec_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `associate--r+_binary64` `associate-+r+_binary64`
3×	`associate-+l-_binary64`
2×	`*-lft-identity_binary64` `difference-of-squares_binary64` `associate--r-_binary64` `associate-+r-_binary64`
1×	`unpow-1_binary64` `prod-exp_binary64` `1-exp_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `associate--l-_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` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

220 → 168

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	5384
1	613	5115
2	2162	5093
3	4462	5093
4	5226	5093

prune137.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	164	4	168
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	168	11	179

Error

4.5b

Counts

179 → 11

Compiler

Compiled 3010 to 1553 computations (48.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(-.f64 (.f64 9 (/.f64 (.f64 x y) z)) (.f64 4 (.f64 t a)))
0.5b	(+.f64 (/.f64 b z) (-.f64 (.f64 9 (/.f64 (.f64 x y) z)) (.f64 4 (.f64 t a))))
4.2b	(/.f64 (*.f64 x y) z)
8.0b	(/.f64 (+.f64 (/.f64 b z) (-.f64 (.f64 9 (/.f64 (.f64 x y) z)) (.f64 4 (.f64 t a)))) c)

rewrite167.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

2.8b

Rules

25×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
11×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64`
5×	`distribute-lft-out_binary64` `associate-/l*_binary64`
4×	`pow1_binary64` `frac-add_binary64` `associate-/l/_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `flip--_binary64`
2×	`frac-2neg_binary64` `associate-+r-_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `diff-log_binary64` `sum-log_binary64` `sub-neg_binary64` `associate-+r+_binary64` `cancel-sign-sub-inv_binary64`
1×	`div-sub_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `+-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

16.0ms	(/.f64 (+.f64 (/.f64 b z) (-.f64 (.f64 9 (/.f64 (.f64 x y) z)) (.f64 4 (.f64 t a)))) c)
13.0ms	(+.f64 (/.f64 b z) (-.f64 (.f64 9 (/.f64 (.f64 x y) z)) (.f64 4 (.f64 t a))))
7.0ms	(-.f64 (.f64 9 (/.f64 (.f64 x y) z)) (.f64 4 (.f64 t a)))
4.0ms	(/.f64 (*.f64 x y) z)

Compiler

Compiled 2840 to 1196 computations (57.9% saved)

series484.0ms (3.2%)

Error

4.4b

Counts

4 → 114

Calls

4 calls:

204.0ms	(/.f64 (+.f64 (/.f64 b z) (-.f64 (.f64 9 (/.f64 (.f64 x y) z)) (.f64 4 (.f64 t a)))) c)
137.0ms	(+.f64 (/.f64 b z) (-.f64 (.f64 9 (/.f64 (.f64 x y) z)) (.f64 4 (.f64 t a))))
97.0ms	(-.f64 (.f64 9 (/.f64 (.f64 x y) z)) (.f64 4 (.f64 t a)))
30.0ms	(/.f64 (*.f64 x y) z)

Compiler

Compiled 3327 to 3053 computations (8.2% saved)

simplify169.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

562×	`associate-/l*_binary64`
408×	`times-frac_binary64`
374×	`distribute-rgt-in_binary64`
356×	`distribute-lft-in_binary64`
232×	`associate-/l/_binary64`
155×	`cancel-sign-sub-inv_binary64`
140×	`associate-/r/_binary64`
117×	`associate-l_binary64`
103×	`associate-r_binary64`
97×	`distribute-rgt-neg-in_binary64`
85×	`*-commutative_binary64`
83×	`div-sub_binary64`
81×	`distribute-lft-neg-in_binary64`
71×	`associate-*l/_binary64`
69×	`sub-neg_binary64`
58×	`associate-*r/_binary64`
40×	`sqr-pow_binary64`
36×	`neg-sub0_binary64`
35×	`distribute-rgt-out_binary64`
34×	`exp-prod_binary64` `neg-mul-1_binary64`
33×	`associate-/r*_binary64`
31×	`distribute-lft-neg-out_binary64`
30×	`+-commutative_binary64`
27×	`distribute-neg-in_binary64`
26×	`distribute-neg-frac_binary64`
22×	`cube-prod_binary64`
20×	`cube-div_binary64` `distribute-rgt-neg-out_binary64`
17×	`log-div_binary64` `swap-sqr_binary64`
14×	`unpow3_binary64` `*-rgt-identity_binary64`
12×	`cube-mult_binary64`
10×	`distribute-lft-out_binary64`
9×	`associate--l+_binary64` `associate-+l+_binary64`
8×	`exp-sum_binary64` `/-rgt-identity_binary64`
6×	`exp-diff_binary64` `cube-unmult_binary64` `associate-+r+_binary64`
5×	`unsub-neg_binary64` `associate--r+_binary64`
4×	`difference-of-squares_binary64` `associate-+r-_binary64`
3×	`mul-1-neg_binary64` `+-rgt-identity_binary64`
2×	`log-rec_binary64` `log-prod_binary64` `div-exp_binary64` `prod-exp_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `div0_binary64` `distribute-frac-neg_binary64` `associate--l-_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` `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` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

201 → 128

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	4953
1	497	4675
2	1738	4660
3	5000	4660
4	4962	4660

prune82.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	127	12	139

Error

2.8b

Counts

139 → 12

Compiler

Compiled 2096 to 1007 computations (52% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 y -9))
0.7b	(+.f64 (.f64 (-.f64 (.f64 x (.f64 y -9)) b) (/.f64 -1 z)) (.f64 (*.f64 t a) -4))
2.7b	(.f64 (-.f64 (.f64 x (*.f64 y -9)) b) (/.f64 -1 z))
8.0b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 x (.f64 y -9)) b) (/.f64 -1 z)) (.f64 (*.f64 t a) -4)) c)

rewrite407.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

2.8b

Rules

26×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`times-frac_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`associate-r_binary64`
11×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`pow-prod-down_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-*r/_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 x (.f64 y -9)) b) (/.f64 -1 z)) (.f64 (*.f64 t a) -4)) c)
12.0ms	(.f64 (-.f64 (.f64 x (*.f64 y -9)) b) (/.f64 -1 z))
11.0ms	(+.f64 (.f64 (-.f64 (.f64 x (.f64 y -9)) b) (/.f64 -1 z)) (.f64 (*.f64 t a) -4))
5.0ms	(.f64 x (.f64 y -9))

Compiler

Compiled 2894 to 1778 computations (38.6% saved)

series440.0ms (2.9%)

Error

2.8b

Counts

4 → 102

Calls

4 calls:

207.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 x (.f64 y -9)) b) (/.f64 -1 z)) (.f64 (*.f64 t a) -4)) c)
134.0ms	(+.f64 (.f64 (-.f64 (.f64 x (.f64 y -9)) b) (/.f64 -1 z)) (.f64 (*.f64 t a) -4))
65.0ms	(.f64 (-.f64 (.f64 x (*.f64 y -9)) b) (/.f64 -1 z))
18.0ms	(.f64 x (.f64 y -9))

Compiler

Compiled 3048 to 2786 computations (8.6% saved)

simplify166.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

362×	`distribute-rgt-in_binary64`
344×	`distribute-lft-in_binary64`
340×	`associate-/l*_binary64`
210×	`associate-l_binary64`
208×	`cancel-sign-sub-inv_binary64`
188×	`associate-r_binary64`
127×	`*-commutative_binary64`
126×	`times-frac_binary64`
123×	`distribute-rgt-neg-in_binary64`
111×	`associate-/l/_binary64`
100×	`exp-prod_binary64`
93×	`distribute-lft-neg-in_binary64`
75×	`associate-/r/_binary64`
73×	`distribute-lft-neg-out_binary64`
61×	`associate-*r/_binary64`
53×	`sub-neg_binary64` `sqr-pow_binary64`
52×	`associate-*l/_binary64`
51×	`distribute-rgt-neg-out_binary64`
48×	`distribute-rgt-out_binary64`
40×	`cube-prod_binary64`
39×	`neg-sub0_binary64`
35×	`+-commutative_binary64`
34×	`swap-sqr_binary64`
33×	`neg-mul-1_binary64`
31×	`distribute-lft-out_binary64`
28×	`div-sub_binary64`
27×	`log-prod_binary64`
26×	`associate-/r*_binary64`
25×	`distribute-neg-frac_binary64`
24×	`unpow3_binary64`
23×	`*-rgt-identity_binary64`
19×	`*-lft-identity_binary64`
18×	`distribute-neg-in_binary64`
17×	`mul-1-neg_binary64`
16×	`unswap-sqr_binary64`
13×	`log-div_binary64` `distribute-rgt-out--_binary64`
12×	`cube-mult_binary64`
9×	`/-rgt-identity_binary64` `distribute-lft-out--_binary64`
8×	`distribute-frac-neg_binary64`
6×	`exp-sum_binary64` `associate--l+_binary64` `associate-+l+_binary64`
5×	`cube-unmult_binary64` `cube-div_binary64` `unsub-neg_binary64`
4×	`difference-of-squares_binary64` `associate-+r+_binary64`
3×	`exp-diff_binary64` `distribute-neg-out_binary64` `associate--r+_binary64`
2×	`log-rec_binary64` `cube-neg_binary64` `pow-sqr_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`unpow1/2_binary64` `unpow-1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `remove-double-neg_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` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

196 → 143

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	4578
1	565	4278
2	1953	4244
3	4919	4244
4	4972	4244

prune100.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	143	12	155

Error

2.8b

Counts

155 → 12

Compiler

Compiled 2221 to 1212 computations (45.4% saved)

regimes6.0s (40.2%)

Accuracy

Total 1.3b remaining (24.7%)

Threshold costs 0b (0%)

Compiler

Compiled 59058 to 49832 computations (15.6% saved)

bsearch10.0ms (0.1%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
14×	`+-commutative_binary64`
10×	`sub-neg_binary64` `distribute-rgt-neg-in_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-neg-in_binary64`
4×	`cancel-sign-sub-inv_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64` `distribute-lft-neg-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` `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` `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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	272
1	76	272
2	96	272
3	120	272
4	133	272
5	139	272
6	140	272
7	138	272

end46.0ms (0.3%)

Compiler: Compiled 915 to 545 computations (40.4% saved)

sample2.6s (17.2%)

Algorithm

1×

intervals

Results

499.0ms	8000×	body	128	valid
288.0ms	4795×	body	128	invalid

Compiler

Compiled 778 to 564 computations (27.5% saved)

Details

analyze2.2s (14.5%)

sample65.0ms (0.4%)

simplify79.0ms (0.5%)

prune6.0ms (0%)

localize13.0ms (0.1%)

rewrite185.0ms (1.2%)

series444.0ms (3%)

simplify180.0ms (1.2%)

prune105.0ms (0.7%)

localize15.0ms (0.1%)

rewrite224.0ms (1.5%)

series447.0ms (3%)

simplify182.0ms (1.2%)

prune137.0ms (0.9%)

localize14.0ms (0.1%)

rewrite167.0ms (1.1%)

series484.0ms (3.2%)

simplify169.0ms (1.1%)

prune82.0ms (0.5%)

localize18.0ms (0.1%)

rewrite407.0ms (2.7%)

series440.0ms (2.9%)

simplify166.0ms (1.1%)

prune100.0ms (0.7%)

regimes6.0s (40.2%)

bsearch10.0ms (0.1%)

simplify14.0ms (0.1%)

end46.0ms (0.3%)

sample2.6s (17.2%)

Profiling