Details

analyze453.0ms (6.2%)

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)

sample32.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	249×	body	128	valid
8.0ms	285×	pre	128	true
1.0ms	29×	body	128	nan
1.0ms	7×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify471.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (305.0ms)

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: 27.8b

Counts

2 → 1

Compiler

Compiled 66 to 54 computations (18.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
27.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

rewrite42.0ms (0.6%)

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))

series446.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

220.0ms	(/.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))))
62.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
28.0ms	(.f64 (.f64 3 a) c)

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5018	1664

prune178.0ms (2.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	5	86

Merged error: 0.4b

Counts

86 → 5

Compiler

Compiled 3523 to 2298 computations (34.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 3 a) c)
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.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))

rewrite68.0ms (0.9%)

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:

21.0ms	(/.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)))))
9.0ms	(.f64 (.f64 3 a) c)
6.0ms	(.f64 (.f64 3 a) c)

series748.0ms (10.2%)

Counts

4 → 12

Calls

4 calls:

388.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
303.0ms	(/.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))
30.0ms	(.f64 (.f64 3 a) c)
28.0ms	(.f64 (.f64 3 a) c)

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5013	3312

prune573.0ms (7.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	124	11	135
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	129	11	140

Merged error: 0.0b

Counts

140 → 11

Compiler

Compiled 12156 to 8086 computations (33.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite119.0ms (1.6%)

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:

43.0ms	(.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)
6.0ms	(.f64 c (.f64 3 a))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))

series878.0ms (11.9%)

Counts

4 → 12

Calls

4 calls:

475.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
309.0ms	(.f64 a (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a))
65.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
30.0ms	(.f64 c (.f64 3 a))

simplify132.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5166	9506

prune716.0ms (9.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	270	5	275
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	275	11	286

Merged error: 0b

Counts

286 → 11

Compiler

Compiled 16102 to 9121 computations (43.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite47.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133`
21×	`times-frac_binary64_1117`
19×	`add-cube-cbrt_binary64_1146`
11×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149`
10×	`difference-of-squares_binary64_1080` `add-log-exp_binary64_1150` `distribute-lft-out--_binary64_1063`
9×	`pow1_binary64_1172`
8×	`sqrt-prod_binary64_1127`
7×	`cancel-sign-sub-inv_binary64_1077` `associate-/r*_binary64_1055`
5×	`distribute-rgt-neg-in_binary64_1069`
3×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `flip3--_binary64_1115` `diff-log_binary64_1203` `associate-/l_binary64_1056` `pow-prod-down_binary64_1182` `associate-l*_binary64_1052` `flip--_binary64_1086`
2×	`sub-neg_binary64_1104` `associate-/r/_binary64_1057`
1×	`-commutative_binary64_1042` `div-inv_binary64_1108` `frac-2neg_binary64_1122` `neg-log_binary64_1204` `associate-r*_binary64_1051` `div-exp_binary64_1162` `neg-sub0_binary64_1106` `cbrt-undiv_binary64_1145` `clear-num_binary64_1110` `associate--l-_binary64_1049`

Counts

4 → 98

Calls

4 calls:

15.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a))))))
11.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
6.0ms	(.f64 c (.f64 3 a))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))

series585.0ms (8%)

Counts

4 → 12

Calls

4 calls:

346.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a))))))
145.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
66.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
28.0ms	(.f64 c (.f64 3 a))

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4927	2689
1	4927	2689

prune245.0ms (3.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	111	10	121

Merged error: 0b

Counts

121 → 10

Compiler

Compiled 5187 to 3283 computations (36.7% saved)

regimes105.0ms (1.4%)

Compiler: Compiled 1148 to 848 computations (26.1% 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%)

sample1.2s (16.4%)

Algorithm

1×

intervals

Results

378.0ms	7697×	body	128	valid
278.0ms	8940×	pre	128	true
43.0ms	940×	body	128	nan
31.0ms	303×	body	256	valid

Compiler

Compiled 329 to 244 computations (25.8% saved)

Details

analyze453.0ms (6.2%)

sample32.0ms (0.4%)

simplify471.0ms (6.4%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

rewrite42.0ms (0.6%)

series446.0ms (6.1%)

simplify62.0ms (0.8%)

prune178.0ms (2.4%)

localize12.0ms (0.2%)

rewrite68.0ms (0.9%)

series748.0ms (10.2%)

simplify100.0ms (1.4%)

prune573.0ms (7.8%)

localize15.0ms (0.2%)

rewrite119.0ms (1.6%)

series878.0ms (11.9%)

simplify132.0ms (1.8%)

prune716.0ms (9.7%)

localize12.0ms (0.2%)

rewrite47.0ms (0.6%)

series585.0ms (8%)

simplify89.0ms (1.2%)

prune245.0ms (3.3%)

regimes105.0ms (1.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (16.4%)

Profiling