Details

analyze258.0ms (4.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample40.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	125×	body	256	valid
8.0ms	279×	pre	128	true
5.0ms	99×	body	128	valid
4.0ms	32×	body	512	valid
1.0ms	23×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify457.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (292.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 51.2b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.2b	(.f64 (.f64 3 a) c)
28.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1123`
14×	`*-un-lft-identity_binary64_1101` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`pow1_binary64_1162`
8×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
6×	`difference-of-squares_binary64_1070` `associate-/l*_binary64_1046` `times-frac_binary64_1107`
4×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `cancel-sign-sub-inv_binary64_1067`
3×	`distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `sqrt-prod_binary64_1117` `associate-r_binary64_1041` `pow-prod-down_binary64_1172`
2×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `associate-/l/_binary64_1048` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-l_binary64_1042` `associate-/r_binary64_1045` `div-sub_binary64_1106`

Counts

4 → 77

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
10.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series473.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

233.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
136.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
71.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
33.0ms	(.f64 (.f64 3 a) c)

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4922	1823
1	4922	1823

prune134.0ms (2.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	77	12	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	12	90

Merged error: 2.7b

Counts

90 → 12

Compiler

Compiled 2289 to 1388 computations (39.4% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune15.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	11	11
Picked	1	1
Done	0	0
Total	12	12

Merged error: 2.7b

Counts

12 → 12

Compiler

Compiled 308 to 221 computations (28.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 (*.f64 a c) b)
0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
17×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
16×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
10×	`add-sqr-sqrt_binary64_1123`
8×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
7×	`times-frac_binary64_1107` `associate-r_binary64_1041`
5×	`pow1_binary64_1162`
4×	`associate-/r*_binary64_1045`
3×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-l_binary64_1042`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-r/_binary64_1043` `associate-/l_binary64_1046`
1×	`*-commutative_binary64_1032` `associate-/l/_binary64_1048` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

3 → 78

Calls

3 calls:

9.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
7.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
5.0ms	(/.f64 (*.f64 a c) b)

series132.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

51.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
42.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
39.0ms	(/.f64 (*.f64 a c) b)

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5036	877

prune90.0ms (1.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	78	9	87
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	79	20	99

Merged error: 2.7b

Counts

99 → 20

Compiler

Compiled 1531 to 876 computations (42.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

series675.0ms (12.1%)

Counts

4 → 12

Calls

4 calls:

188.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
169.0ms	(cbrt.f64 b)
161.0ms	(cbrt.f64 b)
156.0ms	(cbrt.f64 b)

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5245	563

prune83.0ms (1.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	4	14	18
Picked	1	0	1
Done	0	1	1
Total	84	21	105

Merged error: 2.7b

Counts

105 → 21

Compiler

Compiled 1754 to 816 computations (53.5% saved)

regimes563.0ms (10.1%)

Compiler: Compiled 6391 to 4866 computations (23.9% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample2.3s (41.7%)

Algorithm

1×

intervals

Results

365.0ms	3816×	body	256	valid
263.0ms	8754×	pre	128	true
209.0ms	1457×	body	512	valid
133.0ms	2727×	body	128	valid
34.0ms	754×	body	128	nan

Compiler

Compiled 1353 to 1023 computations (24.4% saved)

Details

analyze258.0ms (4.6%)

sample40.0ms (0.7%)

simplify457.0ms (8.2%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite43.0ms (0.8%)

series473.0ms (8.5%)

simplify70.0ms (1.3%)

prune134.0ms (2.4%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune15.0ms (0.3%)

localize8.0ms (0.1%)

rewrite28.0ms (0.5%)

series132.0ms (2.4%)

simplify65.0ms (1.2%)

prune90.0ms (1.6%)

localize13.0ms (0.2%)

rewrite17.0ms (0.3%)

series675.0ms (12.1%)

simplify53.0ms (0.9%)

prune83.0ms (1.5%)

regimes563.0ms (10.1%)

bsearch5.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.3s (41.7%)

Profiling