Details

analyze1.6s (9.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

770×	`times-frac_binary64`
445×	`div-sub_binary64`
393×	`distribute-neg-frac_binary64`
388×	`associate-/r/_binary64`
367×	`associate-*l/_binary64`
348×	`associate-/r*_binary64`
338×	`associate-/l*_binary64`
303×	`cancel-sign-sub-inv_binary64`
200×	`associate-/l/_binary64`
190×	`neg-mul-1_binary64`
185×	`distribute-rgt-neg-in_binary64`
181×	`neg-sub0_binary64`
177×	`distribute-lft-neg-in_binary64`
96×	`associate-*r/_binary64`
91×	`sub-neg_binary64`
68×	`associate-r_binary64`
40×	`*-commutative_binary64`
34×	`associate-l_binary64`
28×	`unsub-neg_binary64`
22×	`distribute-lft-neg-out_binary64`
18×	`+-commutative_binary64`
14×	`distribute-rgt-neg-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
9×	`sub0-neg_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
7×	`+-rgt-identity_binary64`
1×	`swap-x-y` `swap-z-t`
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` `--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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_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` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	209
1	166	209
2	613	209
3	2006	209
4	4408	209
5	4999	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 14 to 14 computations (0% saved)

sample58.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
5.0ms	113×	body	128	invalid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify717.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1728×	`associate-/l*_binary64`
1269×	`div-sub_binary64`
1211×	`distribute-rgt-in_binary64`
791×	`sub-neg_binary64`
779×	`cancel-sign-sub-inv_binary64`
711×	`associate-/r*_binary64`
676×	`times-frac_binary64`
665×	`associate-/r/_binary64`
562×	`distribute-rgt-neg-in_binary64`
491×	`unsub-neg_binary64`
483×	`distribute-lft-in_binary64`
473×	`associate-/l/_binary64`
466×	`distribute-neg-frac_binary64`
383×	`distribute-lft-neg-in_binary64`
349×	`neg-mul-1_binary64`
310×	`neg-sub0_binary64`
288×	`+-lft-identity_binary64`
282×	`associate-*l/_binary64`
273×	`distribute-neg-in_binary64`
269×	`distribute-rgt-neg-out_binary64`
260×	`distribute-lft-neg-out_binary64`
252×	`*-commutative_binary64`
179×	`associate-*r/_binary64`
128×	`*-rgt-identity_binary64`
110×	`mul0-rgt_binary64`
104×	`div0_binary64`
101×	`associate-r_binary64`
100×	`associate-l_binary64`
97×	`mul0-lft_binary64` `associate--r+_binary64`
92×	`+-commutative_binary64`
81×	`remove-double-neg_binary64`
49×	`associate-+l-_binary64`
48×	`+-rgt-identity_binary64` `associate--r-_binary64`
37×	`/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
36×	`distribute-frac-neg_binary64` `distribute-rgt-out_binary64`
30×	`distribute-neg-out_binary64` `associate--l-_binary64`
27×	`associate--l+_binary64`
26×	`*-lft-identity_binary64`
25×	`associate-+r-_binary64`
24×	`mul-1-neg_binary64`
21×	`associate-+l+_binary64`
19×	`cancel-sign-sub_binary64`
18×	`sub0-neg_binary64`
13×	`--rgt-identity_binary64`
6×	`distribute-lft-out_binary64`
4×	`associate-+r+_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	30	19
2	101	19
3	305	19
4	751	19
5	1395	19
6	1737	19
7	1915	19
8	2338	19
9	2903	19
10	3317	19
11	3521	19
12	3460	19
13	3471	19
14	3481	19
15	3825	19
16	3894	19
17	3899	19
18	3899	19
19	4026	19
20	3914	19
21	4337	19
22	4484	19
23	4514	19
24	4450	19
25	4430	19
26	4175	19
27	4267	19
28	4285	19
29	4351	19
30	4471	19
31	4395	19
32	4395	19
33	4398	19
34	4398	19
35	3981	19
36	4073	19
37	4512	19
38	4679	19
39	4535	19
40	4721	19

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

7.5b

Counts

1 → 1

Compiler

Compiled 13 to 13 computations (0% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.2b	(.f64 (.f64 z 9) t)
7.1b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite103.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
5×	`add-log-exp_binary64`
4×	`prod-exp_binary64` `cbrt-unprod_binary64`
3×	`times-frac_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `associate-r*_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64`
1×	`frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r_binary64` `associate-l_binary64` `-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 54

Calls

3 calls:

7.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
5.0ms	(.f64 (.f64 z 9) t)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))

Compiler

Compiled 1161 to 671 computations (42.2% saved)

series183.0ms (1.1%)

Error

7.2b

Counts

3 → 57

Calls

3 calls:

104.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
52.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
16.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 1189 to 1166 computations (1.9% saved)

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

390×	`*-commutative_binary64`
364×	`cancel-sign-sub-inv_binary64`
305×	`div-sub_binary64`
289×	`associate-/l*_binary64`
241×	`times-frac_binary64`
173×	`associate-l_binary64`
171×	`exp-prod_binary64`
169×	`distribute-rgt-neg-in_binary64`
165×	`associate-/r*_binary64`
152×	`distribute-lft-neg-in_binary64`
127×	`associate-r_binary64`
126×	`distribute-rgt-in_binary64`
122×	`distribute-lft-in_binary64`
118×	`neg-sub0_binary64`
116×	`neg-mul-1_binary64`
111×	`associate-*l/_binary64`
103×	`associate-/l/_binary64`
96×	`sub-neg_binary64`
90×	`sqr-pow_binary64`
84×	`associate-*r/_binary64`
70×	`associate-/r/_binary64`
43×	`unsub-neg_binary64`
42×	`cube-prod_binary64`
41×	`swap-sqr_binary64`
39×	`log-prod_binary64` `distribute-neg-frac_binary64`
36×	`+-commutative_binary64`
28×	`distribute-rgt-out_binary64`
22×	`difference-of-squares_binary64` `unswap-sqr_binary64`
20×	`exp-sum_binary64`
18×	`distribute-lft-out_binary64`
17×	`distribute-lft-neg-out_binary64`
16×	`exp-sqrt_binary64` `associate-+l+_binary64`
14×	`exp-diff_binary64` `associate-+r+_binary64`
10×	`unpow3_binary64` `*-lft-identity_binary64`
9×	`pow-sqr_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`
8×	`*-rgt-identity_binary64` `remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-+l-_binary64`
7×	`cube-mult_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
6×	`log-div_binary64` `sub0-neg_binary64` `associate--r+_binary64`
5×	`cube-unmult_binary64` `/-rgt-identity_binary64`
4×	`cube-div_binary64`
3×	`mul-1-neg_binary64` `associate--r-_binary64`
1×	`unpow1/2_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `--rgt-identity_binary64` `div0_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` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `rec-exp_binary64` `prod-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` `+-lft-identity_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

111 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1784
1	381	1636
2	1313	1631
3	3445	1631
4	5092	1631

prune58.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	75	9	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	10	85

Error

7.2b

Counts

85 → 10

Compiler

Compiled 1008 to 573 computations (43.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (/.f64 (.f64 t z) a) 9/2))
0.3b	(.f64 (/.f64 (.f64 t z) a) 9/2)
6.1b	(/.f64 (.f64 x y) (.f64 a 2))
6.6b	(/.f64 (*.f64 t z) a)

rewrite144.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `*-un-lft-identity_binary64`
8×	`div-exp_binary64` `cbrt-undiv_binary64`
7×	`times-frac_binary64` `associate-l_binary64`
6×	`pow1_binary64` `add-log-exp_binary64`
4×	`associate-/r*_binary64`
3×	`div-inv_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `diff-log_binary64` `frac-sub_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 82

Calls

4 calls:

8.0ms	(/.f64 (.f64 x y) (.f64 a 2))
7.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (/.f64 (.f64 t z) a) 9/2))
7.0ms	(.f64 (/.f64 (.f64 t z) a) 9/2)
4.0ms	(/.f64 (*.f64 t z) a)

Compiler

Compiled 1822 to 819 computations (55% saved)

series218.0ms (1.3%)

Error

7.2b

Counts

4 → 54

Calls

4 calls:

113.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (/.f64 (.f64 t z) a) 9/2))
34.0ms	(.f64 (/.f64 (.f64 t z) a) 9/2)
32.0ms	(/.f64 (.f64 x y) (.f64 a 2))
30.0ms	(/.f64 (*.f64 t z) a)

Compiler

Compiled 1438 to 1331 computations (7.4% saved)

simplify132.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

629×	`associate-/r*_binary64`
486×	`*-commutative_binary64`
374×	`associate-/l/_binary64`
263×	`associate-/r/_binary64`
205×	`times-frac_binary64`
161×	`sub-neg_binary64`
151×	`associate-l_binary64`
146×	`associate-/l*_binary64`
126×	`distribute-rgt-neg-in_binary64`
124×	`neg-sub0_binary64`
121×	`neg-mul-1_binary64`
110×	`distribute-lft-neg-in_binary64`
108×	`associate-r_binary64`
107×	`cancel-sign-sub-inv_binary64`
94×	`associate-*l/_binary64`
88×	`log-div_binary64`
81×	`log-prod_binary64`
78×	`distribute-neg-frac_binary64`
76×	`cube-div_binary64`
75×	`associate-*r/_binary64`
63×	`cube-prod_binary64`
53×	`exp-prod_binary64`
49×	`+-commutative_binary64`
45×	`unpow3_binary64`
39×	`div-sub_binary64`
35×	`unsub-neg_binary64` `distribute-rgt-in_binary64`
33×	`distribute-lft-in_binary64`
31×	`sqr-pow_binary64`
30×	`associate-+l-_binary64`
25×	`cube-mult_binary64`
24×	`associate-+r-_binary64`
23×	`associate-+r+_binary64`
22×	`associate-+l+_binary64`
18×	`swap-sqr_binary64`
17×	`exp-diff_binary64` `distribute-lft-neg-out_binary64`
16×	`*-rgt-identity_binary64`
15×	`distribute-lft-out_binary64`
14×	`distribute-rgt-out_binary64`
13×	`associate--l+_binary64`
11×	`associate--l-_binary64` `associate--r+_binary64`
9×	`exp-sum_binary64`
7×	`cube-unmult_binary64` `distribute-neg-in_binary64`
6×	`*-lft-identity_binary64`
5×	`exp-sqrt_binary64`
3×	`mul-1-neg_binary64` `/-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-rgt-neg-out_binary64` `associate--r-_binary64`
2×	`log-rec_binary64` `+-rgt-identity_binary64`
1×	`unpow1/2_binary64` `div-exp_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `div0_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `prod-exp_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-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` `+-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`

Counts

136 → 79

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	172	1921
1	452	1815
2	1857	1815
3	4343	1815
4	4942	1815
5	4964	1815

prune57.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	79	10	89

Error

0.0b

Counts

89 → 10

Compiler

Compiled 894 to 474 computations (47% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 a)
0.5b	(cbrt.f64 a)
4.4b	(.f64 (/.f64 t (.f64 (cbrt.f64 a) (cbrt.f64 a))) (*.f64 9/2 (/.f64 z (cbrt.f64 a))))
6.1b	(/.f64 (.f64 x y) (.f64 a 2))

rewrite121.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

52×	`add-exp-log_binary64`
43×	`add-cbrt-cube_binary64`
22×	`prod-exp_binary64` `cbrt-unprod_binary64`
13×	`div-exp_binary64` `cbrt-undiv_binary64`
9×	`pow1_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
7×	`associate-l_binary64`
6×	`cbrt-prod_binary64`
4×	`add-log-exp_binary64` `times-frac_binary64`
3×	`pow-prod-down_binary64` `associate-*r/_binary64`
2×	`div-inv_binary64` `pow1/3_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-/r_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r_binary64` `-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

13.0ms	(.f64 (/.f64 t (.f64 (cbrt.f64 a) (cbrt.f64 a))) (*.f64 9/2 (/.f64 z (cbrt.f64 a))))
5.0ms	(/.f64 (.f64 x y) (.f64 a 2))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

Compiler

Compiled 2368 to 866 computations (63.4% saved)

series124.0ms (0.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

43.0ms	(.f64 (/.f64 t (.f64 (cbrt.f64 a) (cbrt.f64 a))) (*.f64 9/2 (/.f64 z (cbrt.f64 a))))
35.0ms	(/.f64 (.f64 x y) (.f64 a 2))
18.0ms	(cbrt.f64 a)
18.0ms	(cbrt.f64 a)

Compiler

Compiled 1131 to 905 computations (20% saved)

simplify115.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

399×	`associate-/l/_binary64`
276×	`associate-/r/_binary64`
253×	`log-div_binary64`
241×	`times-frac_binary64`
191×	`sub-neg_binary64`
188×	`associate-l_binary64`
180×	`log-prod_binary64`
170×	`cube-prod_binary64`
162×	`associate-r_binary64`
158×	`cube-div_binary64`
149×	`sqr-pow_binary64`
148×	`associate-/l*_binary64`
140×	`associate-/r*_binary64`
125×	`associate-*l/_binary64`
107×	`associate-*r/_binary64`
103×	`*-commutative_binary64`
72×	`exp-prod_binary64`
63×	`unpow3_binary64`
60×	`cube-mult_binary64`
48×	`unswap-sqr_binary64` `associate-+l+_binary64`
46×	`associate--r+_binary64`
40×	`neg-mul-1_binary64` `neg-sub0_binary64`
38×	`swap-sqr_binary64`
37×	`associate-+r+_binary64` `+-commutative_binary64`
36×	`associate-+l-_binary64`
27×	`associate-+r-_binary64`
23×	`unsub-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
21×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
20×	`associate--l+_binary64`
18×	`cube-unmult_binary64`
13×	`pow-sqr_binary64` `distribute-neg-in_binary64`
11×	`log-pow_binary64`
10×	`pow-plus_binary64` `+-rgt-identity_binary64`
9×	`associate--r-_binary64`
8×	`distribute-rgt-in_binary64`
5×	`div-sub_binary64` `distribute-lft-in_binary64`
4×	`rem-sqrt-square_binary64` `sub0-neg_binary64`
3×	`exp-sqrt_binary64` `cube-neg_binary64` `*-lft-identity_binary64` `div0_binary64` `distribute-frac-neg_binary64`
2×	`log-rec_binary64` `unpow1/3_binary64` `remove-double-neg_binary64` `distribute-neg-frac_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `mul-1-neg_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_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` `pow-base-0_binary64` `unpow2_binary64` `unpow1/2_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`

Counts

106 → 60

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	1965
1	434	1089
2	2087	1073
3	3764	1073
4	4968	1073
5	4980	1073

prune47.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	7	8
Picked	0	1	1
Done	1	0	1
Total	61	9	70

Error

0.0b

Counts

70 → 9

Compiler

Compiled 848 to 449 computations (47.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
0.2b	(.f64 (.f64 t z) 9)
0.3b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))
7.1b	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))

rewrite472.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

471×	`times-frac_binary64`
232×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
57×	`associate-/r*_binary64`
35×	`add-exp-log_binary64`
23×	`add-cbrt-cube_binary64`
22×	`div-inv_binary64`
18×	`div-exp_binary64`
10×	`pow1_binary64`
9×	`cbrt-undiv_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `associate-l_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 304

Calls

4 calls:

15.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))
11.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))
5.0ms	(.f64 (.f64 t z) 9)
4.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))

Compiler

Compiled 9841 to 5692 computations (42.2% saved)

series337.0ms (2%)

Error

0.0b

Counts

4 → 90

Calls

4 calls:

145.0ms	(/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2))
104.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (.f64 x y) (.f64 (*.f64 t z) 9)) 2)))
53.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
16.0ms	(.f64 (.f64 t z) 9)

Compiler

Compiled 2867 to 2605 computations (9.1% saved)

simplify411.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

430×	`associate-/r/_binary64`
304×	`*-commutative_binary64`
291×	`associate-*l/_binary64`
268×	`associate-/l/_binary64`
238×	`associate-*r/_binary64`
234×	`times-frac_binary64`
227×	`associate-/l*_binary64`
224×	`associate-/r*_binary64`
211×	`associate-r_binary64`
190×	`associate-l_binary64`
138×	`div-sub_binary64`
101×	`exp-prod_binary64`
77×	`unswap-sqr_binary64`
71×	`cube-prod_binary64`
70×	`*-rgt-identity_binary64`
63×	`sub-neg_binary64`
58×	`neg-mul-1_binary64`
57×	`log-prod_binary64` `neg-sub0_binary64`
53×	`sqr-pow_binary64`
33×	`log-div_binary64`
32×	`distribute-rgt-neg-in_binary64`
30×	`cube-div_binary64`
29×	`cancel-sign-sub-inv_binary64` `+-commutative_binary64`
25×	`distribute-lft-neg-in_binary64`
23×	`/-rgt-identity_binary64` `*-lft-identity_binary64`
22×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
21×	`unpow3_binary64`
20×	`remove-double-div_binary64`
16×	`cube-mult_binary64`
15×	`unsub-neg_binary64` `associate-+r+_binary64`
14×	`exp-sum_binary64`
13×	`swap-sqr_binary64`
11×	`exp-diff_binary64` `distribute-neg-in_binary64`
10×	`distribute-neg-frac_binary64` `associate--r+_binary64`
9×	`cube-unmult_binary64`
8×	`log-rec_binary64`
6×	`associate-+r-_binary64` `associate-+l+_binary64`
5×	`unpow1/2_binary64` `unpow1_binary64`
4×	`log-pow_binary64` `unpow2_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64` `associate--r-_binary64`
3×	`mul-1-neg_binary64` `difference-of-squares_binary64` `distribute-rgt-out_binary64`
2×	`exp-lft-sqr_binary64` `exp-sqrt_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-lft-neg-out_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `div0_binary64` `pow-sqr_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_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-square-sqrt_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_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-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64`

Counts

394 → 335

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	13452
1	1081	12731
2	4432	12646
3	4773	12646
4	5084	12646

prune285.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	334	1	335
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	335	9	344

Error

0.0b

Counts

344 → 9

Compiler

Compiled 6616 to 3589 computations (45.8% saved)

regimes9.9s (58.3%)

Accuracy

Total 0.9b remaining (63.5%)

Threshold costs 0.9b (63.5%)

Compiler

Compiled 92139 to 77540 computations (15.8% saved)

bsearch13.0ms (0.1%)

Compiler: Compiled 13 to 13 computations (0% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
10×	`sub-neg_binary64` `+-commutative_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
6×	`distribute-lft-neg-in_binary64`
4×	`cancel-sign-sub-inv_binary64`
2×	`distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64`
1×	`if-if-or-not_binary64` `unpow1_binary64` `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` `if-if-and-not_binary64` `if-if-and_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` `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_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	35	103
1	56	103
2	81	103
3	102	103
4	115	103
5	120	103
6	121	103
7	118	103

end47.0ms (0.3%)

Remove: (sort z t)
Compiler: Compiled 476 to 322 computations (32.4% saved)

sample1.6s (9.5%)

Algorithm

1×

intervals

Results

348.0ms	8000×	body	128	valid
150.0ms	3255×	body	128	invalid

Compiler

Compiled 364 to 297 computations (18.4% saved)

Details

analyze1.6s (9.7%)

sample58.0ms (0.3%)

simplify717.0ms (4.2%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite103.0ms (0.6%)

series183.0ms (1.1%)

simplify94.0ms (0.6%)

prune58.0ms (0.3%)

localize11.0ms (0.1%)

rewrite144.0ms (0.9%)

series218.0ms (1.3%)

simplify132.0ms (0.8%)

prune57.0ms (0.3%)

localize16.0ms (0.1%)

rewrite121.0ms (0.7%)

series124.0ms (0.7%)

simplify115.0ms (0.7%)

prune47.0ms (0.3%)

localize11.0ms (0.1%)

rewrite472.0ms (2.8%)

series337.0ms (2%)

simplify411.0ms (2.4%)

prune285.0ms (1.7%)

regimes9.9s (58.3%)

bsearch13.0ms (0.1%)

simplify9.0ms (0.1%)

end47.0ms (0.3%)

sample1.6s (9.5%)

Profiling