Details

analyze392.0ms (8.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

1294×	`distribute-rgt-in_binary64`
652×	`times-frac_binary64`
616×	`distribute-rgt-neg-in_binary64`
580×	`sub-neg_binary64`
578×	`div-sub_binary64`
484×	`neg-mul-1_binary64`
478×	`neg-sub0_binary64`
390×	`distribute-lft-neg-in_binary64`
344×	`distribute-lft-neg-out_binary64`
326×	`cancel-sign-sub-inv_binary64`
300×	`distribute-rgt-neg-out_binary64`
274×	`associate-/l*_binary64`
248×	`remove-double-neg_binary64`
234×	`distribute-neg-frac_binary64`
220×	`distribute-neg-in_binary64`
206×	`unsub-neg_binary64`
186×	`associate--r+_binary64`
168×	`distribute-frac-neg_binary64`
166×	`*-commutative_binary64`
128×	`distribute-lft-in_binary64`
118×	`sqr-pow_binary64`
116×	`associate-/r*_binary64` `+-commutative_binary64`
110×	`swap-sqr_binary64`
103×	`associate-/l/_binary64`
96×	`associate--l-_binary64`
94×	`associate-+l-_binary64`
86×	`associate-l/_binary64` `associate-l*_binary64`
84×	`associate-r_binary64`
68×	`associate--r-_binary64`
64×	`associate--l+_binary64`
62×	`associate-/r/_binary64`
60×	`associate-+r+_binary64`
54×	`associate-+l+_binary64`
50×	`div0_binary64`
44×	`*-rgt-identity_binary64`
42×	`distribute-rgt-out--_binary64`
40×	`/-rgt-identity_binary64`
39×	`associate-*r/_binary64`
38×	`*-lft-identity_binary64` `associate-+r-_binary64`
34×	`cancel-sign-sub_binary64`
30×	`sub0-neg_binary64`
26×	`--rgt-identity_binary64`
25×	`distribute-rgt-out_binary64`
24×	`distribute-neg-out_binary64`
22×	`cube-div_binary64`
20×	`cube-prod_binary64` `+-lft-identity_binary64` `remove-double-div_binary64`
14×	`mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64`
12×	`mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64`
10×	`distribute-lft1-in_binary64`
6×	`distribute-lft-out_binary64`
4×	`unpow3_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-neg_binary64` `sqr-neg_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `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` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	32	32
2	68	32
3	133	32
4	442	32
5	1047	32
6	1882	32
7	2334	32
8	2634	32
9	2969	32
10	3232	32
11	3203	32
12	3272	32
13	3445	32
14	3380	32
15	3559	32
16	3688	32
17	3811	32
18	3966	32
19	4149	32
20	4336	32
21	4523	32
22	5856	32
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample27.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify135.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-/r/_binary64`
530×	`unsub-neg_binary64`
520×	`distribute-rgt-in_binary64`
518×	`div-sub_binary64`
438×	`sub-neg_binary64`
424×	`associate-/l*_binary64`
393×	`distribute-lft-in_binary64`
350×	`distribute-rgt-neg-out_binary64`
343×	`distribute-lft-neg-out_binary64`
340×	`unswap-sqr_binary64`
298×	`associate-/l/_binary64`
297×	`neg-mul-1_binary64`
273×	`neg-sub0_binary64`
243×	`cancel-sign-sub-inv_binary64`
214×	`distribute-neg-in_binary64`
208×	`distribute-rgt-neg-in_binary64`
196×	`distribute-neg-frac_binary64` `associate-*l/_binary64`
191×	`associate-/r*_binary64`
136×	`distribute-lft-neg-in_binary64`
122×	`*-commutative_binary64`
105×	`associate-*r/_binary64`
101×	`associate--r-_binary64`
91×	`div0_binary64`
85×	`associate--l-_binary64`
75×	`difference-of-squares_binary64`
72×	`sqr-pow_binary64`
68×	`associate--r+_binary64`
64×	`associate-l_binary64` `associate-+l-_binary64`
62×	`associate-r_binary64`
58×	`mul0-lft_binary64`
57×	`cube-prod_binary64` `mul0-rgt_binary64`
56×	`distribute-neg-out_binary64`
54×	`*-rgt-identity_binary64` `associate-+r-_binary64` `+-commutative_binary64`
51×	`distribute-frac-neg_binary64`
44×	`*-lft-identity_binary64`
41×	`remove-double-neg_binary64`
38×	`associate--l+_binary64`
37×	`distribute-rgt-out--_binary64`
36×	`cancel-sign-sub_binary64`
33×	`swap-sqr_binary64`
29×	`associate-+r+_binary64`
22×	`distribute-rgt-out_binary64`
21×	`associate-+l+_binary64`
20×	`pow-sqr_binary64`
19×	`distribute-lft-out--_binary64`
17×	`pow-plus_binary64` `/-rgt-identity_binary64`
12×	`cube-neg_binary64`
11×	`cube-unmult_binary64`
10×	`sub0-neg_binary64`
9×	`sqr-neg_binary64`
7×	`+-lft-identity_binary64` `distribute-rgt1-in_binary64`
6×	`unpow3_binary64` `--rgt-identity_binary64`
5×	`unpow2_binary64` `+-rgt-identity_binary64`
4×	`distribute-lft1-in_binary64`
3×	`unpow1_binary64` `distribute-lft-out_binary64`
2×	`mul-1-neg_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `cube-mult_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `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-div_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` `times-frac_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` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	20	16
2	39	16
3	72	16
4	207	16
5	430	16
6	715	16
7	1126	16
8	955	16
9	1077	16
10	1417	16
11	1909	16
12	2195	16
13	3288	16
14	3288	16
15	3681	16
16	4740	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite137.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 78

Calls

3 calls:

11.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
7.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1366 to 882 computations (35.4% saved)

series90.0ms (1.9%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

40.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
22.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
10.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 629 to 492 computations (21.8% saved)

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

397×	`div-sub_binary64`
331×	`associate-*l/_binary64`
307×	`distribute-rgt-in_binary64`
291×	`unsub-neg_binary64`
284×	`distribute-lft-in_binary64`
230×	`*-commutative_binary64`
216×	`associate-/r*_binary64`
210×	`associate-/l/_binary64`
201×	`associate-*r/_binary64`
152×	`associate-/r/_binary64`
127×	`associate-l_binary64`
117×	`exp-prod_binary64`
103×	`associate-r_binary64`
81×	`associate-/l*_binary64`
79×	`log-prod_binary64`
68×	`cube-prod_binary64`
66×	`neg-sub0_binary64`
65×	`exp-sum_binary64`
57×	`neg-mul-1_binary64`
52×	`log-div_binary64`
51×	`cube-div_binary64`
45×	`sub-neg_binary64`
42×	`+-commutative_binary64`
40×	`times-frac_binary64`
33×	`exp-diff_binary64`
28×	`sqr-pow_binary64`
27×	`-rgt-identity_binary64` `-lft-identity_binary64`
24×	`associate-+r-_binary64`
23×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
21×	`distribute-rgt-neg-in_binary64`
20×	`unswap-sqr_binary64` `swap-sqr_binary64` `associate-+l-_binary64`
19×	`distribute-lft-neg-out_binary64`
17×	`distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
16×	`associate-+l+_binary64`
15×	`associate--l+_binary64`
14×	`cancel-sign-sub-inv_binary64`
12×	`unpow3_binary64`
11×	`/-rgt-identity_binary64` `distribute-rgt-out_binary64`
10×	`exp-neg_binary64` `mul-1-neg_binary64` `distribute-neg-in_binary64`
9×	`cube-mult_binary64`
8×	`log-rec_binary64`
7×	`cube-unmult_binary64` `associate--l-_binary64`
6×	`distribute-lft-out_binary64`
5×	`pow-plus_binary64` `sqr-neg_binary64` `distribute-frac-neg_binary64` `associate--r+_binary64`
4×	`distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
3×	`log-pow_binary64` `unpow1/2_binary64` `cube-neg_binary64`
2×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_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` `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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

108 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1434
1	349	1337
2	1146	1294
3	3506	1287
4	5040	1287

prune81.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	82	9	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	10	92

Error

Counts

92 → 10

Compiler

Compiled 1086 to 538 computations (50.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite186.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
25×	`associate-r_binary64`
14×	`difference-of-squares_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64` `distribute-lft-out--_binary64`
6×	`associate-l_binary64` `associate-/l*_binary64`
3×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-/r*_binary64`
2×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `-commutative_binary64` `flip3--_binary64` `associate-l/_binary64` `flip--_binary64` `associate-/l/_binary64`
1×	`associate-*r/_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

3 → 103

Calls

3 calls:

13.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
11.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
6.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 1844 to 1174 computations (36.3% saved)

series95.0ms (2%)

Error

Counts

3 → 33

Calls

3 calls:

39.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
23.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
17.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 759 to 583 computations (23.2% saved)

simplify104.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

411×	`associate-*l/_binary64`
374×	`div-sub_binary64`
345×	`associate-*r/_binary64`
335×	`distribute-rgt-in_binary64`
327×	`times-frac_binary64`
318×	`distribute-lft-in_binary64`
316×	`associate-/l*_binary64`
137×	`associate-/r*_binary64`
130×	`associate-/l/_binary64`
126×	`associate-l_binary64`
103×	`associate-r_binary64`
93×	`log-prod_binary64`
89×	`cube-prod_binary64`
88×	`exp-prod_binary64`
78×	`*-commutative_binary64`
74×	`associate-/r/_binary64`
65×	`log-div_binary64`
61×	`cube-div_binary64`
53×	`distribute-rgt-neg-out_binary64`
48×	`distribute-lft-neg-out_binary64`
44×	`sub-neg_binary64`
41×	`exp-sum_binary64`
35×	`unswap-sqr_binary64`
31×	`*-lft-identity_binary64`
30×	`*-rgt-identity_binary64`
28×	`sqr-pow_binary64`
26×	`+-commutative_binary64`
25×	`neg-sub0_binary64`
24×	`distribute-neg-frac_binary64`
23×	`cancel-sign-sub-inv_binary64`
19×	`distribute-rgt-neg-in_binary64`
18×	`exp-diff_binary64`
17×	`sqr-neg_binary64`
16×	`neg-mul-1_binary64` `mul-1-neg_binary64`
13×	`unpow3_binary64` `cube-neg_binary64` `distribute-frac-neg_binary64`
12×	`/-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
11×	`swap-sqr_binary64`
10×	`log-rec_binary64`
9×	`cube-mult_binary64`
8×	`exp-neg_binary64` `unsub-neg_binary64` `distribute-neg-in_binary64`
7×	`distribute-rgt-out_binary64`
6×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
3×	`unpow1/2_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64` `associate-+l+_binary64`
2×	`log-pow_binary64` `pow-plus_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `associate--l+_binary64` `associate-+r+_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `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` `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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

136 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	1950
1	380	1851
2	1215	1816
3	4148	1804
4	5337	1804

prune81.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	3	5	8
Picked	1	0	1
Done	1	0	1
Total	94	8	102

Error

Counts

102 → 8

Compiler

Compiled 1125 to 635 computations (43.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (*.f64 m m))
0.0b	(/.f64 v (-.f64 m (*.f64 m m)))
0.1b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
0.3b	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))

rewrite324.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

156×	`times-frac_binary64`
125×	`add-sqr-sqrt_binary64`
105×	`*-un-lft-identity_binary64`
74×	`add-cube-cbrt_binary64`
27×	`difference-of-squares_binary64`
26×	`associate-/r*_binary64`
20×	`associate-l_binary64`
19×	`add-exp-log_binary64`
17×	`distribute-rgt-out--_binary64`
13×	`add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
8×	`div-exp_binary64`
7×	`pow1_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`difference-of-sqr-1_binary64`
4×	`cbrt-undiv_binary64`
3×	`associate-r_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-*l/_binary64` `distribute-lft-out--_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 196

Calls

4 calls:

30.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
11.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
4.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 4489 to 1846 computations (58.9% saved)

series125.0ms (2.6%)

Error

Counts

4 → 45

Calls

4 calls:

41.0ms	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
27.0ms	(/.f64 v (-.f64 m (*.f64 m m)))
23.0ms	(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
12.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1096 to 853 computations (22.2% saved)

simplify183.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

411×	`times-frac_binary64`
404×	`associate-/r/_binary64`
390×	`distribute-rgt-in_binary64`
359×	`associate-/l/_binary64`
358×	`distribute-lft-in_binary64`
146×	`div-sub_binary64`
116×	`*-commutative_binary64`
111×	`associate-*l/_binary64`
101×	`neg-sub0_binary64`
90×	`neg-mul-1_binary64`
87×	`exp-prod_binary64` `associate-r_binary64`
76×	`associate-l_binary64`
71×	`associate-/l*_binary64`
68×	`associate-*r/_binary64`
66×	`sub-neg_binary64`
51×	`exp-sum_binary64` `*-rgt-identity_binary64`
48×	`+-commutative_binary64`
44×	`cube-prod_binary64` `cancel-sign-sub-inv_binary64`
41×	`distribute-neg-in_binary64`
39×	`distribute-rgt-out_binary64` `associate-/r*_binary64`
35×	`log-prod_binary64` `sqr-pow_binary64` `unswap-sqr_binary64`
33×	`distribute-rgt-neg-in_binary64`
30×	`distribute-neg-frac_binary64`
29×	`unsub-neg_binary64`
27×	`associate-+r+_binary64`
26×	`distribute-lft-neg-in_binary64`
25×	`distribute-lft-neg-out_binary64`
23×	`*-lft-identity_binary64`
20×	`distribute-rgt-neg-out_binary64`
19×	`associate-+l+_binary64`
18×	`exp-diff_binary64`
17×	`distribute-lft-out_binary64`
16×	`cube-div_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64`
15×	`distribute-rgt1-in_binary64`
14×	`log-div_binary64`
12×	`swap-sqr_binary64`
10×	`unpow3_binary64` `associate--r+_binary64`
9×	`cube-unmult_binary64` `difference-of-squares_binary64`
7×	`log-rec_binary64` `cube-mult_binary64` `/-rgt-identity_binary64` `associate-+r-_binary64`
6×	`remove-double-div_binary64`
5×	`+-rgt-identity_binary64`
4×	`distribute-lft-out--_binary64`
3×	`pow-plus_binary64` `cube-neg_binary64` `sqr-neg_binary64` `div0_binary64` `pow-sqr_binary64` `associate--r-_binary64`
2×	`log-pow_binary64` `unpow1/2_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `associate--l+_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

241 → 192

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	4876
1	598	4482
2	1985	4380
3	4450	4380
4	4984	4380

prune166.0ms (3.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	192	8	200

Error

Counts

200 → 8

Compiler

Compiled 2619 to 1074 computations (59% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) m)
0.0b	(-.f64 m (*.f64 m m))
0.0b	(/.f64 (-.f64 m (*.f64 m m)) v)
0.2b	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))

rewrite176.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`add-sqr-sqrt_binary64`
33×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
25×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
6×	`pow1_binary64`
5×	`associate-/l*_binary64`
4×	`cancel-sign-sub-inv_binary64`
3×	`associate-l_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64` `diff-log_binary64` `sub-neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

4 → 104

Calls

4 calls:

9.0ms	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))
7.0ms	(-.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) m)
5.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 2003 to 468 computations (76.6% saved)

series125.0ms (2.6%)

Error

Counts

4 → 39

Calls

4 calls:

40.0ms	(-.f64 (.f64 m (/.f64 (-.f64 m (.f64 m m)) v)) m)
30.0ms	(.f64 m (/.f64 (-.f64 m (.f64 m m)) v))
24.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
11.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 848 to 631 computations (25.6% saved)

simplify116.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

552×	`associate-/l*_binary64`
458×	`associate-*l/_binary64`
291×	`distribute-rgt-in_binary64`
283×	`distribute-lft-in_binary64`
219×	`associate-/l/_binary64`
211×	`times-frac_binary64`
119×	`associate-/r*_binary64`
116×	`exp-prod_binary64`
98×	`associate-l_binary64`
84×	`cancel-sign-sub-inv_binary64`
78×	`associate-r_binary64`
76×	`log-prod_binary64`
75×	`distribute-rgt-out_binary64` `associate-/r/_binary64`
71×	`sub-neg_binary64` `*-commutative_binary64`
70×	`log-div_binary64`
66×	`associate-*r/_binary64`
59×	`distribute-rgt-neg-in_binary64`
53×	`div-sub_binary64`
47×	`distribute-lft-neg-in_binary64`
40×	`distribute-rgt-out--_binary64`
37×	`unswap-sqr_binary64` `distribute-neg-frac_binary64`
32×	`+-commutative_binary64`
30×	`distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
29×	`neg-sub0_binary64`
26×	`cube-prod_binary64` `sqr-pow_binary64`
25×	`neg-mul-1_binary64`
21×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64`
20×	`*-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
17×	`unpow3_binary64` `exp-sum_binary64`
16×	`difference-of-squares_binary64`
13×	`cube-div_binary64`
11×	`exp-diff_binary64` `/-rgt-identity_binary64`
10×	`swap-sqr_binary64` `distribute-neg-in_binary64` `distribute-lft-out--_binary64`
8×	`mul-1-neg_binary64` `associate-+r-_binary64`
7×	`log-rec_binary64` `cube-unmult_binary64` `+-rgt-identity_binary64`
6×	`distribute-lft1-in_binary64`
5×	`pow-plus_binary64` `cube-mult_binary64` `associate-+l+_binary64`
4×	`associate-+r+_binary64`
3×	`log-pow_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `associate--r+_binary64`
2×	`unpow1/2_binary64` `div-exp_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_binary64` `associate--l+_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div0_binary64` `distribute-frac-neg_binary64` `associate--r-_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` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

143 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2178
1	398	2068
2	1323	2058
3	4781	2058
4	5011	2058

prune61.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	96	6	102

Error

Counts

102 → 6

Compiler

Compiled 896 to 267 computations (70.2% saved)

regimes1.2s (25.6%)

Accuracy

Total 0.2b remaining (89.3%)

Threshold costs 0.2b (89.3%)

Compiler

Compiled 16815 to 11765 computations (30% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	15	16
2	20	16
3	22	16
4	23	16
5	22	16

end1.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

sample835.0ms (17.5%)

Algorithm

1×

intervals

Results

257.0ms	8000×	body	128	valid
162.0ms	8059×	pre	128	true
2.0ms	59×	body	128	invalid

Compiler

Compiled 123 to 98 computations (20.3% saved)

Details

analyze392.0ms (8.2%)

sample27.0ms (0.6%)

simplify135.0ms (2.8%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite137.0ms (2.9%)

series90.0ms (1.9%)

simplify80.0ms (1.7%)

prune81.0ms (1.7%)

localize7.0ms (0.1%)

rewrite186.0ms (3.9%)

series95.0ms (2%)

simplify104.0ms (2.2%)

prune81.0ms (1.7%)

localize8.0ms (0.2%)

rewrite324.0ms (6.8%)

series125.0ms (2.6%)

simplify183.0ms (3.8%)

prune166.0ms (3.5%)

localize7.0ms (0.1%)

rewrite176.0ms (3.7%)

series125.0ms (2.6%)

simplify116.0ms (2.4%)

prune61.0ms (1.3%)

regimes1.2s (25.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample835.0ms (17.5%)

Profiling