Details

analyze156.0ms (1.4%)

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)

sample292.0ms (2.7%)

Algorithm

1×

intervals

Results

239.0ms	128×	body	2048	valid
27.0ms	63×	body	1024	valid
6.0ms	41×	body	512	valid
4.0ms	256×	pre	128	true
3.0ms	6×	body	4096	valid
1.0ms	13×	body	256	valid
0.0ms	5×	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)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
2.0b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite108.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

60.0b

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)

series191.0ms (1.8%)

Error

0.3b

Counts

2 → 10

Calls

2 calls:

113.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
70.0ms	(/.f64 1 (tan.f64 x))

Compiler

Compiled 228 to 163 computations (28.5% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4869	1082
1	4869	1082

prune69.0ms (0.6%)

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 2 expressions with local error:

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

rewrite65.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

17×	`add-sqr-sqrt_binary64_1123`
15×	`associate-r_binary64_1041`
9×	`add-exp-log_binary64_1139`
8×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
6×	`add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
5×	`unswap-sqr_binary64_1069`
4×	`pow1_binary64_1162` `prod-exp_binary64_1150` `unpow-prod-down_binary64_1180` `cube-prod_binary64_1129`
2×	`add-log-exp_binary64_1140` `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`

Counts

2 → 49

Calls

2 calls:

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

Compiler

Compiled 713 to 555 computations (22.2% saved)

series75.0ms (0.7%)

Error

0.3b

Counts

2 → 6

Calls

2 calls:

46.0ms	(*.f64 1/45 (pow.f64 x 3))
25.0ms	(*.f64 1/3 x)

Compiler

Compiled 162 to 139 computations (14.2% saved)

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5065	432

prune58.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Error

0.2b

Counts

56 → 6

Compiler

Compiled 769 to 592 computations (23% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 1/45 (pow.f64 x 3))
0.4b	(.f64 (sqrt.f64 1/3) (.f64 x (sqrt.f64 1/3)))
0.4b	(*.f64 x (sqrt.f64 1/3))

rewrite122.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

23×	`add-sqr-sqrt_binary64_1123`
19×	`associate-r_binary64_1041`
15×	`add-exp-log_binary64_1139`
12×	`add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-l*_binary64_1042`
10×	`pow1_binary64_1162`
7×	`prod-exp_binary64_1150` `sqrt-prod_binary64_1117`
6×	`unswap-sqr_binary64_1069`
5×	`cbrt-unprod_binary64_1134`
4×	`pow-prod-down_binary64_1172` `unpow-prod-down_binary64_1180` `cube-prod_binary64_1129`
3×	`add-log-exp_binary64_1140` `*-commutative_binary64_1032`
2×	`sqr-pow_binary64_1073`
1×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `unpow3_binary64_1167` `cube-mult_binary64_1131`

Counts

3 → 74

Calls

3 calls:

7.0ms	(.f64 (sqrt.f64 1/3) (.f64 x (sqrt.f64 1/3)))
6.0ms	(*.f64 1/45 (pow.f64 x 3))
5.0ms	(*.f64 x (sqrt.f64 1/3))

Compiler

Compiled 1401 to 1178 computations (15.9% saved)

series181.0ms (1.7%)

Error

0.2b

Counts

3 → 9

Calls

3 calls:

71.0ms	(.f64 (sqrt.f64 1/3) (.f64 x (sqrt.f64 1/3)))
52.0ms	(*.f64 1/45 (pow.f64 x 3))
49.0ms	(*.f64 x (sqrt.f64 1/3))

Compiler

Compiled 342 to 307 computations (10.2% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5424	670

prune111.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	77	12	89

Error

0.1b

Counts

89 → 12

Compiler

Compiled 1507 to 1253 computations (16.9% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(.f64 (sqrt.f64 (sqrt.f64 1/3)) (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)))
0.4b	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))

rewrite169.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_1123`
23×	`add-exp-log_binary64_1139` `associate-r_binary64_1041`
15×	`associate-l_binary64_1042`
14×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
13×	`prod-exp_binary64_1150` `sqrt-prod_binary64_1117`
12×	`add-cbrt-cube_binary64_1137` `unpow-prod-down_binary64_1180`
8×	`unswap-sqr_binary64_1069`
5×	`pow1_binary64_1162` `cbrt-unprod_binary64_1134`
4×	`sqr-pow_binary64_1073` `cube-prod_binary64_1129`
3×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `add-log-exp_binary64_1140` `*-commutative_binary64_1032`
1×	`pow-prod-down_binary64_1172` `unpow3_binary64_1167` `cube-mult_binary64_1131`

Counts

3 → 85

Calls

3 calls:

10.0ms	(.f64 (sqrt.f64 (sqrt.f64 1/3)) (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)))
7.0ms	(*.f64 1/45 (pow.f64 x 3))
7.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))

Compiler

Compiled 1946 to 1691 computations (13.1% saved)

series248.0ms (2.3%)

Error

0.1b

Counts

3 → 9

Calls

3 calls:

116.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))
72.0ms	(.f64 (sqrt.f64 (sqrt.f64 1/3)) (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)))
47.0ms	(*.f64 1/45 (pow.f64 x 3))

Compiler

Compiled 405 to 370 computations (8.6% saved)

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4939	917
1	4939	917

prune133.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	8	2	10
Picked	1	0	1
Done	0	1	1
Total	101	5	106

Error

Counts

106 → 5

Compiler

Compiled 1765 to 1505 computations (14.7% saved)

regimes249.0ms (2.3%)

Accuracy

Total 0.4b remaining (86.7%)

Threshold costs 0.4b (86.7%)

Compiler

Compiled 2517 to 2111 computations (16.1% 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%)

sample8.3s (76.6%)

Algorithm

1×

intervals

Results

5.4s	4044×	body	2048	valid
707.0ms	2003×	body	1024	valid
147.0ms	8000×	pre	128	true
144.0ms	1026×	body	512	valid
122.0ms	221×	body	4096	valid
42.0ms	478×	body	256	valid
11.0ms	228×	body	128	valid

Compiler

Compiled 1271 to 1066 computations (16.1% saved)

Details

analyze156.0ms (1.4%)

sample292.0ms (2.7%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite108.0ms (1%)

series191.0ms (1.8%)

simplify77.0ms (0.7%)

prune69.0ms (0.6%)

localize6.0ms (0.1%)

rewrite65.0ms (0.6%)

series75.0ms (0.7%)

simplify69.0ms (0.6%)

prune58.0ms (0.5%)

localize8.0ms (0.1%)

rewrite122.0ms (1.1%)

series181.0ms (1.7%)

simplify72.0ms (0.7%)

prune111.0ms (1%)

localize12.0ms (0.1%)

rewrite169.0ms (1.6%)

series248.0ms (2.3%)

simplify49.0ms (0.4%)

prune133.0ms (1.2%)

regimes249.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample8.3s (76.6%)

Profiling