Details

analyze259.0ms (1%)

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)

sample45.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	107×	body	256	valid
10.0ms	52×	body	512	valid
8.0ms	280×	pre	128	true
5.0ms	97×	body	128	valid
1.0ms	24×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify457.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (292.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune5.0ms (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

Merged error: 51.3b

Counts

2 → 1

Compiler

Compiled 66 to 54 computations (18.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
24.9b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

rewrite42.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_1111`
14×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149`
10×	`add-log-exp_binary64_1150`
9×	`pow1_binary64_1172`
7×	`add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146`
6×	`distribute-lft-out_binary64_1062`
5×	`times-frac_binary64_1117` `associate-/l*_binary64_1056`
4×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144`
3×	`associate-r_binary64_1051` `pow-prod-down_binary64_1182` `distribute-rgt-neg-in_binary64_1069`
2×	`associate-+l-_binary64_1046` `flip-+_binary64_1085` `associate-/l/_binary64_1058` `flip3-+_binary64_1114` `div-exp_binary64_1162` `neg-sub0_binary64_1106` `cbrt-undiv_binary64_1145` `sum-log_binary64_1202`
1×	`-commutative_binary64_1042` `div-inv_binary64_1108` `cancel-sign-sub-inv_binary64_1077` `associate-/r_binary64_1055` `frac-2neg_binary64_1122` `flip3--_binary64_1115` `diff-log_binary64_1203` `neg-log_binary64_1204` `+-commutative_binary64_1041` `associate-l_binary64_1052` `sub-neg_binary64_1104` `clear-num_binary64_1110` `div-sub_binary64_1116` `flip--_binary64_1086`

Counts

4 → 73

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
10.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series457.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

227.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
137.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
63.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
30.0ms	(.f64 (.f64 3 a) c)

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5018	1664

prune135.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	4	86

Merged error: 0.1b

Counts

86 → 4

Compiler

Compiled 2664 to 1701 computations (36.1% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 3 a) c)
0.3b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
0.4b	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))

rewrite66.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149`
34×	`times-frac_binary64_1117`
28×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133`
19×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144`
17×	`div-exp_binary64_1162` `cbrt-undiv_binary64_1145`
14×	`associate-/l*_binary64_1056` `pow1_binary64_1172`
12×	`add-cube-cbrt_binary64_1146`
8×	`associate-/r*_binary64_1055` `difference-of-squares_binary64_1080` `distribute-lft-out--_binary64_1063`
6×	`associate-r_binary64_1051` `pow-prod-down_binary64_1182` `associate-/r/_binary64_1057`
4×	`div-inv_binary64_1108` `add-log-exp_binary64_1150` `distribute-rgt-neg-in_binary64_1069` `sqrt-prod_binary64_1127`
3×	`flip3--_binary64_1115` `flip--_binary64_1086`
2×	`-commutative_binary64_1042` `frac-2neg_binary64_1122` `associate-l*_binary64_1052` `clear-num_binary64_1110`
1×	`associate-/l/_binary64_1058`

Counts

4 → 123

Calls

4 calls:

20.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
16.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
6.0ms	(.f64 (.f64 3 a) c)
6.0ms	(.f64 (.f64 3 a) c)

series748.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

390.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
299.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
29.0ms	(.f64 (.f64 3 a) c)
28.0ms	(.f64 (.f64 3 a) c)

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5013	3312

prune400.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	131	8	139

Merged error: 0.0b

Counts

139 → 8

Compiler

Compiled 8598 to 5630 computations (34.5% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
0.3b	(/.f64 (.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a))))))) a)
0.3b	(.f64 c (.f64 3 a))
0.3b	(.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))))

rewrite62.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_1133`
31×	`*-un-lft-identity_binary64_1111`
28×	`associate-r_binary64_1051`
25×	`times-frac_binary64_1117`
23×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149`
19×	`add-cube-cbrt_binary64_1146`
11×	`pow1_binary64_1172`
7×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144`
6×	`associate-l_binary64_1052` `difference-of-squares_binary64_1080` `add-log-exp_binary64_1150` `distribute-lft-out--_binary64_1063`
5×	`div-exp_binary64_1162` `cbrt-undiv_binary64_1145`
4×	`pow-prod-down_binary64_1182`
3×	`associate-/r*_binary64_1055` `distribute-rgt-neg-in_binary64_1069` `sqrt-prod_binary64_1127`
2×	`-commutative_binary64_1042` `div-inv_binary64_1108` `flip3--_binary64_1115` `unswap-sqr_binary64_1079` `flip--_binary64_1086` `associate-r/_binary64_1053` `associate-/r/_binary64_1057`
1×	`cancel-sign-sub-inv_binary64_1077` `frac-2neg_binary64_1122` `associate-/l/_binary64_1058` `diff-log_binary64_1203` `associate-/l*_binary64_1056` `sub-neg_binary64_1104` `clear-num_binary64_1110`

Counts

4 → 100

Calls

4 calls:

23.0ms	(.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))))
17.0ms	(/.f64 (.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a))))))) a)
6.0ms	(.f64 c (.f64 3 a))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))

series780.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

386.0ms	(.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))))
305.0ms	(/.f64 (.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a))))))) a)
61.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
28.0ms	(.f64 c (.f64 3 a))

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4979	2387
1	4979	2387

prune245.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	112	8	120

Merged error: 0b

Counts

120 → 8

Compiler

Compiled 5488 to 3314 computations (39.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
0.3b	(.f64 c (.f64 3 a))
0.3b	(/.f64 3 (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a))
0.3b	(/.f64 (/.f64 (.f64 3 a) 1) (/.f64 3 (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a)))

rewrite1.1s (4.5%)

Algorithm

1×	rewrite-expression-head

Rules

9095×	`times-frac_binary64_1117`
4137×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133`
3081×	`add-cube-cbrt_binary64_1146`
528×	`difference-of-squares_binary64_1080` `distribute-lft-out--_binary64_1063`
388×	`div-inv_binary64_1108`
348×	`associate-/r*_binary64_1055`
264×	`distribute-rgt-neg-in_binary64_1069` `sqrt-prod_binary64_1127`
186×	`associate-/r/_binary64_1057`
109×	`add-exp-log_binary64_1149`
88×	`flip3--_binary64_1115` `flip--_binary64_1086`
77×	`add-cbrt-cube_binary64_1147`
75×	`div-exp_binary64_1162`
47×	`cbrt-undiv_binary64_1145`
37×	`associate-/l*_binary64_1056`
11×	`prod-exp_binary64_1160`
9×	`pow1_binary64_1172`
8×	`1-exp_binary64_1155`
7×	`cbrt-unprod_binary64_1144`
4×	`add-log-exp_binary64_1150`
3×	`frac-2neg_binary64_1122` `pow-prod-down_binary64_1182` `associate-l_binary64_1052` `clear-num_binary64_1110`
2×	`associate-/l/_binary64_1058`
1×	`-commutative_binary64_1042` `associate-r*_binary64_1051`

Counts

4 → 2635

Calls

4 calls:

111.0ms	(/.f64 (/.f64 (.f64 3 a) 1) (/.f64 3 (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a)))
42.0ms	(/.f64 3 (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a))
20.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
6.0ms	(.f64 c (.f64 3 a))

series1.2s (4.9%)

Counts

4 → 12

Calls

4 calls:

469.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
442.0ms	(/.f64 3 (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a))
309.0ms	(/.f64 (/.f64 (.f64 3 a) 1) (/.f64 3 (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a)))
29.0ms	(.f64 c (.f64 3 a))

simplify1.3s (5.3%)

Algorithm

1×	egg-herbie

Counts

2647 → 2647

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	6648	180934

prune16.0s (63.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	2647	0	2647
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	2647	8	2655

Merged error: 0b

Counts

2655 → 8

Compiler

Compiled 128434 to 72198 computations (43.8% saved)

regimes100.0ms (0.4%)

Compiler: Compiled 1051 to 773 computations (26.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	29
1	82	29

end0.0ms (0%)

sample1.5s (5.9%)

Algorithm

1×

intervals

Results

378.0ms	3783×	body	256	valid
274.0ms	8872×	pre	128	true
218.0ms	1442×	body	512	valid
142.0ms	2775×	body	128	valid
42.0ms	872×	body	128	nan

Compiler

Compiled 296 to 216 computations (27% saved)

Details

analyze259.0ms (1%)

sample45.0ms (0.2%)

simplify457.0ms (1.8%)

prune5.0ms (0%)

localize13.0ms (0.1%)

rewrite42.0ms (0.2%)

series457.0ms (1.8%)

simplify59.0ms (0.2%)

prune135.0ms (0.5%)

localize12.0ms (0%)

rewrite66.0ms (0.3%)

series748.0ms (2.9%)

simplify91.0ms (0.4%)

prune400.0ms (1.6%)

localize13.0ms (0%)

rewrite62.0ms (0.2%)

series780.0ms (3.1%)

simplify70.0ms (0.3%)

prune245.0ms (1%)

localize16.0ms (0.1%)

rewrite1.1s (4.5%)

series1.2s (4.9%)

simplify1.3s (5.3%)

prune16.0s (63.2%)

regimes100.0ms (0.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (5.9%)

Profiling