Details

analyze260.0ms (3.3%)

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)

sample38.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	93×	body	256	valid
8.0ms	279×	pre	128	true
8.0ms	163×	body	128	valid
4.0ms	23×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify465.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (301.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune6.0ms (0.1%)

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

Merged error: 44.9b

Counts

2 → 2

Compiler

Compiled 82 to 67 computations (18.3% saved)

localize11.0ms (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 3 a) c)
0.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
39.3b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

rewrite42.0ms (0.5%)

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))

series450.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

218.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
133.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
65.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
33.0ms	(.f64 (.f64 3 a) c)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5018	1664

prune158.0ms (2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	83	4	87

Merged error: 0.2b

Counts

87 → 4

Compiler

Compiled 3174 to 2027 computations (36.1% saved)

localize14.0ms (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)))))
0.4b	(/.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))

rewrite62.0ms (0.8%)

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:

19.0ms	(/.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)

series752.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

385.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
312.0ms	(/.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)
26.0ms	(.f64 (.f64 3 a) c)

simplify91.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5013	3312

prune579.0ms (7.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	130	9	139

Merged error: 0.0b

Counts

139 → 9

Compiler

Compiled 8485 to 5459 computations (35.7% 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 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.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)

rewrite64.0ms (0.8%)

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:

21.0ms	(.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)))

series756.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

370.0ms	(.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))))
303.0ms	(/.f64 (.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a))))))) a)
57.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
26.0ms	(.f64 c (.f64 3 a))

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4979	2387
1	4979	2387

prune209.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	114	7	121

Merged error: 0.0b

Counts

121 → 7

Compiler

Compiled 4666 to 2725 computations (41.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite184.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

999×	`times-frac_binary64_1117`
600×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133`
408×	`add-cube-cbrt_binary64_1146`
113×	`associate-/r*_binary64_1055`
96×	`difference-of-squares_binary64_1080` `distribute-lft-out--_binary64_1063`
48×	`distribute-rgt-neg-in_binary64_1069` `sqrt-prod_binary64_1127`
38×	`associate-/r/_binary64_1057`
23×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149`
22×	`div-inv_binary64_1108`
17×	`flip3--_binary64_1115` `flip--_binary64_1086`
9×	`div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `pow1_binary64_1172`
6×	`associate-/l*_binary64_1056` `add-log-exp_binary64_1150`
3×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `pow-prod-down_binary64_1182` `associate-l_binary64_1052`
2×	`frac-2neg_binary64_1122` `clear-num_binary64_1110`
1×	`-commutative_binary64_1042` `cancel-sign-sub-inv_binary64_1077` `diff-log_binary64_1203` `associate-r*_binary64_1051` `sub-neg_binary64_1104`

Counts

4 → 520

Calls

4 calls:

32.0ms	(/.f64 a (/.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3))))))))
18.0ms	(/.f64 a (/.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	(-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))

series815.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

390.0ms	(/.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))))))
297.0ms	(/.f64 a (/.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3))))))))
101.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))
26.0ms	(.f64 c (.f64 a 3))

simplify356.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

532 → 532

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5000	24443

prune1.0s (12.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	528	4	532
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	530	9	539

Merged error: 0b

Counts

539 → 9

Compiler

Compiled 21208 to 10017 computations (52.8% saved)

regimes98.0ms (1.2%)

Compiler: Compiled 931 to 703 computations (24.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	23
1	79	23

end0.0ms (0%)

sample1.3s (16.4%)

Algorithm

1×

intervals

Results

286.0ms	2973×	body	256	valid
270.0ms	8881×	pre	128	true
251.0ms	5023×	body	128	valid
43.0ms	881×	body	128	nan
1.0ms	4×	body	512	valid

Compiler

Compiled 263 to 197 computations (25.1% saved)

Details

analyze260.0ms (3.3%)

sample38.0ms (0.5%)

simplify465.0ms (5.9%)

prune6.0ms (0.1%)

localize11.0ms (0.1%)

rewrite42.0ms (0.5%)

series450.0ms (5.7%)

simplify60.0ms (0.8%)

prune158.0ms (2%)

localize14.0ms (0.2%)

rewrite62.0ms (0.8%)

series752.0ms (9.6%)

simplify91.0ms (1.2%)

prune579.0ms (7.4%)

localize13.0ms (0.2%)

rewrite64.0ms (0.8%)

series756.0ms (9.6%)

simplify68.0ms (0.9%)

prune209.0ms (2.7%)

localize15.0ms (0.2%)

rewrite184.0ms (2.3%)

series815.0ms (10.4%)

simplify356.0ms (4.5%)

prune1.0s (12.9%)

regimes98.0ms (1.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (16.4%)

Profiling