Details

analyze1.6s (13.1%)

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)

sample53.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	104×	body	128	invalid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify947.0ms (7.8%)

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

6.4b

Counts

1 → 1

Compiler

Compiled 13 to 13 computations (0% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (.f64 z 9) t)
0.3b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
6.0b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite170.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

6.2b

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` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-l_binary64` `-commutative_binary64`

Counts

3 → 54

Calls

3 calls:

12.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
8.0ms	(.f64 (.f64 z 9) t)
6.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))

Compiler

Compiled 1161 to 671 computations (42.2% saved)

series342.0ms (2.8%)

Error

6.2b

Counts

3 → 57

Calls

3 calls:

193.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
97.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
28.0ms	(.f64 (.f64 z 9) t)

Compiler

Compiled 1189 to 1166 computations (1.9% saved)

simplify161.0ms (1.3%)

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

prune116.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	73	11	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	12	85

Error

6.1b

Counts

85 → 12

Compiler

Compiled 1021 to 597 computations (41.5% saved)

localize21.0ms (0.2%)

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))
0.2b	(.f64 (/.f64 (.f64 t z) a) 9/2)
4.6b	(/.f64 (.f64 x y) (.f64 a 2))
6.2b	(/.f64 (*.f64 t z) a)

rewrite279.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

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:

14.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (/.f64 (.f64 t z) a) 9/2))
13.0ms	(.f64 (/.f64 (.f64 t z) a) 9/2)
9.0ms	(/.f64 (.f64 x y) (.f64 a 2))
7.0ms	(/.f64 (*.f64 t z) a)

Compiler

Compiled 1822 to 819 computations (55% saved)

series375.0ms (3.1%)

Error

6.1b

Counts

4 → 54

Calls

4 calls:

189.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (/.f64 (.f64 t z) a) 9/2))
60.0ms	(/.f64 (.f64 x y) (.f64 a 2))
56.0ms	(.f64 (/.f64 (.f64 t z) a) 9/2)
52.0ms	(/.f64 (*.f64 t z) a)

Compiler

Compiled 1438 to 1331 computations (7.4% saved)

simplify212.0ms (1.8%)

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

prune109.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	6	4	10
Picked	1	0	1
Done	0	1	1
Total	80	11	91

Error

0.3b

Counts

91 → 11

Compiler

Compiled 907 to 489 computations (46.1% saved)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (.f64 t z) 9)
0.3b	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
6.1b	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 t z) 9)) 2))

rewrite260.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

35×	`add-sqr-sqrt_binary64`
30×	`add-exp-log_binary64`
25×	`times-frac_binary64`
20×	`add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
16×	`associate-r_binary64`
14×	`associate-l_binary64`
11×	`prod-exp_binary64`
10×	`pow1_binary64`
8×	`div-exp_binary64`
7×	`cbrt-unprod_binary64`
6×	`unswap-sqr_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-undiv_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 86

Calls

3 calls:

25.0ms	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 t z) 9)) 2))
9.0ms	(.f64 (.f64 t z) 9)
7.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))

Compiler

Compiled 2102 to 1211 computations (42.4% saved)

series339.0ms (2.8%)

Error

0.3b

Counts

3 → 57

Calls

3 calls:

186.0ms	(.f64 (/.f64 1 a) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 t z) 9)) 2))
102.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 t z) 9))
29.0ms	(.f64 (.f64 t z) 9)

Compiler

Compiled 1291 to 1268 computations (1.8% saved)

simplify177.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

359×	`associate-/l*_binary64`
347×	`associate-*l/_binary64`
272×	`associate-*r/_binary64`
204×	`associate-/l/_binary64`
201×	`div-sub_binary64`
197×	`associate-r_binary64`
196×	`associate-l_binary64`
157×	`distribute-rgt-in_binary64`
156×	`distribute-lft-in_binary64`
149×	`distribute-rgt-neg-in_binary64`
138×	`neg-mul-1_binary64`
137×	`neg-sub0_binary64`
134×	`cancel-sign-sub-inv_binary64`
131×	`exp-prod_binary64` `*-commutative_binary64`
130×	`distribute-lft-neg-in_binary64`
120×	`times-frac_binary64`
104×	`associate-/r/_binary64`
92×	`associate-/r*_binary64`
40×	`log-prod_binary64` `cube-prod_binary64` `sub-neg_binary64` `sqr-pow_binary64`
38×	`exp-sum_binary64`
35×	`*-lft-identity_binary64`
29×	`associate-+r-_binary64`
27×	`log-div_binary64` `associate-+l+_binary64`
25×	`swap-sqr_binary64` `associate-+l-_binary64`
24×	`distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
23×	`cube-div_binary64`
22×	`+-commutative_binary64`
20×	`*-rgt-identity_binary64`
17×	`distribute-lft-out_binary64`
15×	`distribute-rgt-neg-out_binary64`
14×	`exp-diff_binary64`
13×	`associate--r+_binary64`
11×	`unpow3_binary64`
10×	`log-rec_binary64` `cube-mult_binary64`
9×	`distribute-neg-in_binary64`
8×	`/-rgt-identity_binary64` `associate-+r+_binary64`
7×	`exp-sqrt_binary64` `cube-unmult_binary64`
6×	`associate--r-_binary64`
4×	`associate--l+_binary64`
3×	`unpow1/2_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64`
2×	`exp-neg_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `pow-sqr_binary64`
1×	`pow-plus_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `+-lft-identity_binary64` `remove-double-div_binary64` `distribute-neg-out_binary64` `count-2_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` `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` `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-square-sqrt_binary64` `remove-double-neg_binary64` `--rgt-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`

Counts

143 → 97

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	189	2715
1	489	2444
2	1678	2444
3	4137	2444
4	4958	2444

prune76.0ms (0.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	4	5	9
Picked	0	1	1
Done	0	1	1
Total	99	9	108

Error

0.3b

Counts

108 → 9

Compiler

Compiled 1433 to 837 computations (41.6% 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 t (/.f64 z a)) 9/2))
0.2b	(.f64 (.f64 t (/.f64 z a)) 9/2)
4.6b	(/.f64 (.f64 x y) (.f64 a 2))
5.6b	(*.f64 t (/.f64 z a))

rewrite133.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 87

Calls

4 calls:

10.0ms	(*.f64 t (/.f64 z a))
8.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (.f64 t (/.f64 z a)) 9/2))
7.0ms	(.f64 (.f64 t (/.f64 z a)) 9/2)
5.0ms	(/.f64 (.f64 x y) (.f64 a 2))

Compiler

Compiled 1917 to 865 computations (54.9% saved)

series198.0ms (1.6%)

Error

0.3b

Counts

4 → 54

Calls

4 calls:

99.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 (.f64 t (/.f64 z a)) 9/2))
32.0ms	(/.f64 (.f64 x y) (.f64 a 2))
32.0ms	(.f64 (.f64 t (/.f64 z a)) 9/2)
26.0ms	(*.f64 t (/.f64 z a))

Compiler

Compiled 1438 to 1333 computations (7.3% saved)

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-/r*_binary64`
270×	`associate-/l/_binary64`
219×	`associate-l_binary64`
199×	`associate-/r/_binary64`
180×	`times-frac_binary64`
178×	`neg-mul-1_binary64`
174×	`distribute-rgt-neg-in_binary64`
164×	`associate-r_binary64`
155×	`cancel-sign-sub-inv_binary64`
154×	`distribute-lft-neg-in_binary64`
150×	`neg-sub0_binary64`
136×	`sub-neg_binary64`
131×	`associate-/l*_binary64`
113×	`sqr-pow_binary64`
111×	`*-commutative_binary64`
91×	`exp-prod_binary64`
90×	`associate-*r/_binary64`
84×	`associate-*l/_binary64`
70×	`cube-div_binary64`
67×	`log-div_binary64` `log-prod_binary64`
63×	`cube-prod_binary64`
50×	`distribute-neg-frac_binary64`
43×	`+-commutative_binary64`
40×	`div-sub_binary64`
38×	`unpow3_binary64`
37×	`distribute-rgt-in_binary64`
35×	`cube-mult_binary64` `distribute-lft-in_binary64`
33×	`unsub-neg_binary64` `associate-+l+_binary64`
28×	`associate-+r+_binary64`
26×	`*-lft-identity_binary64` `swap-sqr_binary64`
25×	`associate-+l-_binary64`
24×	`*-rgt-identity_binary64`
21×	`distribute-lft-out_binary64` `associate-+r-_binary64`
20×	`distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
17×	`exp-diff_binary64`
14×	`exp-sum_binary64`
13×	`+-rgt-identity_binary64`
12×	`/-rgt-identity_binary64`
11×	`associate--l+_binary64`
10×	`associate--r+_binary64`
9×	`rem-sqrt-square_binary64`
8×	`cube-unmult_binary64` `sub0-neg_binary64` `pow-sqr_binary64`
6×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-in_binary64`
5×	`unpow1/2_binary64` `exp-sqrt_binary64`
4×	`distribute-rgt-neg-out_binary64`
3×	`mul-1-neg_binary64` `difference-of-squares_binary64`
2×	`log-rec_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `div0_binary64`
1×	`pow-plus_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `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` `+-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` `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` `associate--l-_binary64`

Counts

141 → 91

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	186	1976
1	488	1870
2	2033	1870
3	4253	1870
4	4882	1870
5	4942	1870

prune46.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	3	3	6
Picked	1	0	1
Done	0	2	2
Total	92	8	100

Error

0.0b

Counts

100 → 8

Compiler

Compiled 877 to 407 computations (53.6% saved)

regimes4.1s (33.8%)

Accuracy

Total 1.1b remaining (95.9%)

Threshold costs 0b (0%)

Compiler

Compiled 38602 to 32857 computations (14.9% saved)

bsearch5.0ms (0%)

Compiler: Compiled 9 to 10 computations (-11.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
14×	`sub-neg_binary64` `+-commutative_binary64`
12×	`distribute-rgt-neg-in_binary64`
10×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-neg-in_binary64`
6×	`cancel-sign-sub-inv_binary64`
2×	`distribute-neg-frac_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` `1-exp_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	36	102
1	59	102
2	95	102
3	119	102
4	138	102
5	144	102
6	145	102
7	143	102

end39.0ms (0.3%)

Compiler: Compiled 345 to 220 computations (36.2% saved)

sample2.2s (18.1%)

Algorithm

1×

intervals

Results

625.0ms	3065×	body	128	invalid
325.0ms	8000×	body	128	valid

Compiler

Compiled 280 to 247 computations (11.8% saved)

Details

analyze1.6s (13.1%)

sample53.0ms (0.4%)

simplify947.0ms (7.8%)

prune2.0ms (0%)

localize18.0ms (0.1%)

rewrite170.0ms (1.4%)

series342.0ms (2.8%)

simplify161.0ms (1.3%)

prune116.0ms (1%)

localize21.0ms (0.2%)

rewrite279.0ms (2.3%)

series375.0ms (3.1%)

simplify212.0ms (1.8%)

prune109.0ms (0.9%)

localize25.0ms (0.2%)

rewrite260.0ms (2.1%)

series339.0ms (2.8%)

simplify177.0ms (1.5%)

prune76.0ms (0.6%)

localize11.0ms (0.1%)

rewrite133.0ms (1.1%)

series198.0ms (1.6%)

simplify121.0ms (1%)

prune46.0ms (0.4%)

regimes4.1s (33.8%)

bsearch5.0ms (0%)

simplify8.0ms (0.1%)

end39.0ms (0.3%)

sample2.2s (18.1%)

Profiling