Details

analyze97.0ms (0.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	49.7%	50.3%	0
0%	49.7%	50.3%	1
0%	49.7%	50.3%	2
24.8%	24.8%	50.3%	3
37.3%	12.4%	50.3%	4
43.5%	6.2%	50.3%	5
46.6%	3.1%	50.3%	6
48.1%	1.6%	50.3%	7
48.9%	0.8%	50.3%	8
49.3%	0.4%	50.3%	9
49.5%	0.2%	50.3%	10
49.6%	0.1%	50.3%	11
49.6%	0%	50.3%	12
49.7%	0%	50.3%	13
49.7%	0%	50.3%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample213.0ms (2%)

Algorithm

1×

intervals

Results

168.0ms	125×	body	2048	valid
20.0ms	61×	body	1024	valid
4.0ms	256×	pre	128	true
4.0ms	32×	body	512	valid
3.0ms	6×	body	4096	valid
2.0ms	25×	body	256	valid
0.0ms	7×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

60.4b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
2.7b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite102.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

59.8b

Rules

43×	`add-sqr-sqrt_binary64_1123`
36×	`times-frac_binary64_1107`
35×	`*-un-lft-identity_binary64_1101`
19×	`add-cube-cbrt_binary64_1136`
14×	`cancel-sign-sub-inv_binary64_1067`
9×	`difference-of-squares_binary64_1070`
7×	`distribute-lft-out--_binary64_1053`
6×	`add-exp-log_binary64_1139` `div-inv_binary64_1098`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`pow1_binary64_1162` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`tan-quot_binary64_1260` `associate-/r/_binary64_1047` `div-exp_binary64_1152`
1×	`diff-log_binary64_1193` `frac-sub_binary64_1110` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`

Counts

2 → 74

Calls

2 calls:

16.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
4.0ms	(/.f64 1 (tan.f64 x))

Compiler

Compiled 1177 to 769 computations (34.7% saved)

series132.0ms (1.2%)

Error

0.3b

Counts

2 → 10

Calls

2 calls:

76.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
49.0ms	(/.f64 1 (tan.f64 x))

Compiler

Compiled 228 to 163 computations (28.5% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4869	1082
1	4869	1082

prune59.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	1	85

Error

0.3b

Counts

85 → 1

Compiler

Compiled 1034 to 632 computations (38.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(*.f64 1/3 x)

rewrite74.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

18×	`add-sqr-sqrt_binary64_1123`
15×	`associate-r_binary64_1041`
10×	`add-exp-log_binary64_1139`
9×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
7×	`add-cbrt-cube_binary64_1137`
6×	`associate-l_binary64_1042`
5×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `unswap-sqr_binary64_1069`
4×	`prod-exp_binary64_1150` `unpow-prod-down_binary64_1180` `cube-prod_binary64_1129`
2×	`cbrt-unprod_binary64_1134` `*-commutative_binary64_1032` `sqr-pow_binary64_1073`
1×	`pow-prod-down_binary64_1172` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `unpow3_binary64_1167` `cube-mult_binary64_1131` `sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031`

Counts

3 → 60

Calls

3 calls:

6.0ms	(*.f64 1/45 (pow.f64 x 3))
4.0ms	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
4.0ms	(*.f64 1/3 x)

Compiler

Compiled 933 to 733 computations (21.4% saved)

series128.0ms (1.2%)

Error

0.3b

Counts

3 → 12

Calls

3 calls:

71.0ms	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
34.0ms	(*.f64 1/45 (pow.f64 x 3))
17.0ms	(*.f64 1/3 x)

Compiler

Compiled 269 to 231 computations (14.1% saved)

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5023	697

prune63.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	6	73

Error

0.1b

Counts

73 → 6

Compiler

Compiled 993 to 769 computations (22.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
0.6b	(cbrt.f64 (*.f64 1/3 x))
0.6b	(cbrt.f64 (*.f64 1/3 x))
0.6b	(cbrt.f64 (*.f64 1/3 x))

rewrite96.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`pow1_binary64_1162`
10×	`add-sqr-sqrt_binary64_1123`
9×	`pow1/3_binary64_1183`
8×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
7×	`cbrt-prod_binary64_1132`
6×	`add-exp-log_binary64_1139`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `swap-sqr_binary64_1068` `associate-l_binary64_1042` `associate-r_binary64_1041`
2×	`pow-prod-down_binary64_1172` `pow-prod-up_binary64_1171` `pow-sqr_binary64_1074`
1×	`pow2_binary64_1182` `pow-plus_binary64_1164` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032`

Counts

4 → 58

Calls

4 calls:

5.0ms	(.f64 (cbrt.f64 (.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
2.0ms	(cbrt.f64 (*.f64 1/3 x))
2.0ms	(cbrt.f64 (*.f64 1/3 x))
2.0ms	(cbrt.f64 (*.f64 1/3 x))

Compiler

Compiled 1447 to 1177 computations (18.7% saved)

series379.0ms (3.6%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

106.0ms	(.f64 (cbrt.f64 (.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
90.0ms	(cbrt.f64 (*.f64 1/3 x))
89.0ms	(cbrt.f64 (*.f64 1/3 x))
81.0ms	(cbrt.f64 (*.f64 1/3 x))

Compiler

Compiled 801 to 691 computations (13.7% saved)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5115	556

prune95.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	66	10	76

Error

0.1b

Counts

76 → 10

Compiler

Compiled 1649 to 1336 computations (19% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
0.6b	(cbrt.f64 (*.f64 1/3 x))
0.6b	(cbrt.f64 (*.f64 1/3 x))
0.6b	(cbrt.f64 x)

rewrite99.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`pow1_binary64_1162` `add-sqr-sqrt_binary64_1123`
9×	`pow1/3_binary64_1183` `add-cube-cbrt_binary64_1136` `cbrt-prod_binary64_1132` `*-un-lft-identity_binary64_1101`
6×	`add-exp-log_binary64_1139`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `swap-sqr_binary64_1068` `associate-l_binary64_1042` `associate-r_binary64_1041`
2×	`pow-prod-down_binary64_1172` `pow-prod-up_binary64_1171` `pow-sqr_binary64_1074`
1×	`pow2_binary64_1182` `pow-plus_binary64_1164` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032`

Counts

4 → 60

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
2.0ms	(cbrt.f64 (*.f64 1/3 x))
2.0ms	(cbrt.f64 (*.f64 1/3 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1552 to 1199 computations (22.7% saved)

series373.0ms (3.5%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

113.0ms	(.f64 (cbrt.f64 (.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
86.0ms	(cbrt.f64 (*.f64 1/3 x))
80.0ms	(cbrt.f64 (*.f64 1/3 x))
80.0ms	(cbrt.f64 x)

Compiler

Compiled 837 to 719 computations (14.1% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5090	544

prune88.0ms (0.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	3	4	7
Picked	0	1	1
Done	0	2	2
Total	72	10	82

Error

0.1b

Counts

82 → 10

Compiler

Compiled 1617 to 1247 computations (22.9% saved)

regimes217.0ms (2%)

Accuracy

Total 0.3b remaining (67%)

Threshold costs 0.3b (67%)

Compiler

Compiled 2594 to 2106 computations (18.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample8.1s (76.1%)

Algorithm

1×

intervals

Results

5.3s	3993×	body	2048	valid
664.0ms	1976×	body	1024	valid
141.0ms	8000×	pre	128	true
133.0ms	1022×	body	512	valid
115.0ms	224×	body	4096	valid
45.0ms	557×	body	256	valid
10.0ms	228×	body	128	valid

Compiler

Compiled 1319 to 1070 computations (18.9% saved)

Details

analyze97.0ms (0.9%)

sample213.0ms (2%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite102.0ms (1%)

series132.0ms (1.2%)

simplify81.0ms (0.8%)

prune59.0ms (0.5%)

localize6.0ms (0.1%)

rewrite74.0ms (0.7%)

series128.0ms (1.2%)

simplify53.0ms (0.5%)

prune63.0ms (0.6%)

localize13.0ms (0.1%)

rewrite96.0ms (0.9%)

series379.0ms (3.6%)

simplify63.0ms (0.6%)

prune95.0ms (0.9%)

localize13.0ms (0.1%)

rewrite99.0ms (0.9%)

series373.0ms (3.5%)

simplify81.0ms (0.8%)

prune88.0ms (0.8%)

regimes217.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample8.1s (76.1%)

Profiling