Details

analyze267.0ms (3.9%)

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)

sample42.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	106×	body	256	valid
8.0ms	277×	pre	128	true
7.0ms	51×	body	512	valid
5.0ms	99×	body	128	valid
1.0ms	21×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify458.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (292.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune6.0ms (0.1%)

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: 52.9b

Counts

2 → 1

Compiler

Compiled 66 to 54 computations (18.2% saved)

localize11.0ms (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 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
0.2b	(.f64 (.f64 3 a) c)
27.4b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

rewrite44.0ms (0.7%)

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 (6.8%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
132.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
68.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
32.0ms	(.f64 (.f64 3 a) c)

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5018	1664

prune138.0ms (2%)

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 2617 to 1669 computations (36.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.2b	(.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)))))
0.3b	(/.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))

rewrite65.0ms (1%)

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:

22.0ms	(/.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)
5.0ms	(.f64 (.f64 3 a) c)

series788.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

396.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
306.0ms	(/.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))
58.0ms	(.f64 (.f64 3 a) c)
29.0ms	(.f64 (.f64 3 a) c)

simplify94.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5013	3312

prune305.0ms (4.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	133	6	139

Merged error: 0b

Counts

139 → 6

Compiler

Compiled 6303 to 4010 computations (36.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite114.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 263

Calls

4 calls:

39.0ms	(.f64 a (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a))
19.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
9.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
6.0ms	(.f64 c (.f64 3 a))

series889.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

491.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
304.0ms	(.f64 a (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a))
64.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
29.0ms	(.f64 c (.f64 3 a))

simplify122.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5166	9506

prune476.0ms (7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	273	2	275
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	275	6	281

Merged error: 0b

Counts

281 → 6

Compiler

Compiled 10480 to 5204 computations (50.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_1133`
34×	`*-un-lft-identity_binary64_1111`
21×	`times-frac_binary64_1117`
18×	`add-cube-cbrt_binary64_1146`
11×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149`
10×	`pow1_binary64_1172`
8×	`difference-of-squares_binary64_1080` `distribute-lft-out--_binary64_1063`
7×	`associate-/r*_binary64_1055` `sqrt-prod_binary64_1127`
6×	`add-log-exp_binary64_1150`
4×	`distribute-rgt-neg-in_binary64_1069`
3×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `flip3--_binary64_1115` `associate-/l_binary64_1056` `pow-prod-down_binary64_1182` `associate-l*_binary64_1052` `flip--_binary64_1086`
2×	`sqrt-div_binary64_1128` `associate-/r/_binary64_1057`
1×	`pow1/2_binary64_1191` `-commutative_binary64_1042` `rem-sqrt-square_binary64_1124` `div-inv_binary64_1108` `cancel-sign-sub-inv_binary64_1077` `frac-2neg_binary64_1122` `diff-log_binary64_1203` `associate-r*_binary64_1051` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `sqrt-pow1_binary64_1129` `sub-neg_binary64_1104` `clear-num_binary64_1110`

Counts

4 → 90

Calls

4 calls:

12.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3))))))
6.0ms	(.f64 c (.f64 a 3))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3))))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))

series576.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

360.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3))))))
121.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3))))
67.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))
28.0ms	(.f64 c (.f64 a 3))

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4861	2392
1	4861	2392

prune151.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	102	6	108

Merged error: 0b

Counts

108 → 6

Compiler

Compiled 3099 to 1832 computations (40.9% saved)

regimes75.0ms (1.1%)

Compiler: Compiled 551 to 459 computations (16.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	23
1	81	23

end0.0ms (0%)

sample1.5s (21.5%)

Algorithm

1×

intervals

Results

377.0ms	3745×	body	256	valid
271.0ms	8794×	pre	128	true
217.0ms	1452×	body	512	valid
155.0ms	2803×	body	128	valid
41.0ms	794×	body	128	nan

Compiler

Compiled 168 to 136 computations (19% saved)

Details

analyze267.0ms (3.9%)

sample42.0ms (0.6%)

simplify458.0ms (6.8%)

prune6.0ms (0.1%)

localize11.0ms (0.2%)

rewrite44.0ms (0.7%)

series457.0ms (6.8%)

simplify60.0ms (0.9%)

prune138.0ms (2%)

localize13.0ms (0.2%)

rewrite65.0ms (1%)

series788.0ms (11.7%)

simplify94.0ms (1.4%)

prune305.0ms (4.5%)

localize13.0ms (0.2%)

rewrite114.0ms (1.7%)

series889.0ms (13.1%)

simplify122.0ms (1.8%)

prune476.0ms (7%)

localize15.0ms (0.2%)

rewrite37.0ms (0.5%)

series576.0ms (8.5%)

simplify93.0ms (1.4%)

prune151.0ms (2.2%)

regimes75.0ms (1.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (21.5%)

Profiling