Details

analyze268.0ms (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)

sample36.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	244×	body	128	valid
9.0ms	285×	pre	128	true
1.0ms	29×	body	128	nan
1.0ms	12×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify423.0ms (9.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (265.0ms)

Iter	Nodes	Cost
0	1707	24
1	1707	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: 29.0b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
28.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_1109`
14×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123`
13×	`*-un-lft-identity_binary64_1088`
9×	`pow1_binary64_1146`
8×	`add-log-exp_binary64_1124`
7×	`add-cube-cbrt_binary64_1120`
6×	`times-frac_binary64_1094` `associate-/l*_binary64_1035` `difference-of-squares_binary64_1057`
4×	`cbrt-unprod_binary64_1118` `prod-exp_binary64_1134`
3×	`associate-r_binary64_1030` `flip3--_binary64_1092` `sqrt-prod_binary64_1103` `flip--_binary64_1063` `pow-prod-down_binary64_1156` `distribute-lft-out--_binary64_1042`
2×	`sub-neg_binary64_1081` `associate-/l/_binary64_1037` `div-exp_binary64_1136` `diff-log_binary64_1177` `cbrt-undiv_binary64_1119`
1×	`-commutative_binary64_1021` `clear-num_binary64_1087` `frac-2neg_binary64_1099` `associate-/r_binary64_1034` `div-sub_binary64_1093` `associate-l_binary64_1031` `div-inv_binary64_1085`

Counts

4 → 73

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series450.0ms (10%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
133.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
68.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
27.0ms	(.f64 (.f64 3 a) c)

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4925	1807
1	4925	1807

prune122.0ms (2.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	69	16	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	16	86

Merged error: 9.2b

Counts

86 → 16

Compiler

Compiled 2351 to 1442 computations (38.7% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune20.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	1	1
Done	0	0
Total	16	16

Merged error: 9.2b

Counts

16 → 16

Compiler

Compiled 437 to 312 computations (28.6% saved)

localize8.0ms (0.2%)

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))
0.4b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123`
17×	`cbrt-unprod_binary64_1118` `prod-exp_binary64_1134`
16×	`div-exp_binary64_1136` `cbrt-undiv_binary64_1119`
10×	`add-sqr-sqrt_binary64_1109`
8×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
7×	`associate-r_binary64_1030` `times-frac_binary64_1094`
5×	`pow1_binary64_1146`
4×	`associate-/r*_binary64_1034`
3×	`associate-l_binary64_1031` `add-log-exp_binary64_1124` `div-inv_binary64_1085`
2×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `associate-/l_binary64_1035` `associate-r/_binary64_1032`
1×	`*-commutative_binary64_1021` `unswap-sqr_binary64_1056` `associate-/l/_binary64_1037` `pow-prod-down_binary64_1156`

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)

series121.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

41.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
40.0ms	(/.f64 (*.f64 a c) b)
40.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5045	877

prune98.0ms (2.2%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	73	14	87
Fresh	1	13	14
Picked	1	0	1
Done	1	0	1
Total	76	27	103

Merged error: 9.1b

Counts

103 → 27

Compiler

Compiled 1665 to 988 computations (40.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 1 (*.f64 -2 (/.f64 b c)))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_1123`
10×	`add-cbrt-cube_binary64_1121`
9×	`div-exp_binary64_1136`
6×	`prod-exp_binary64_1134`
4×	`cbrt-undiv_binary64_1119` `pow1_binary64_1146`
3×	`add-sqr-sqrt_binary64_1109` `rec-exp_binary64_1135` `times-frac_binary64_1094` `1-exp_binary64_1129` `-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120` `associate-/l_binary64_1035`
2×	`cbrt-unprod_binary64_1118` `pow-flip_binary64_1159`
1×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `inv-pow_binary64_1170` `associate-/r_binary64_1034` `associate-/r/_binary64_1036` `pow-prod-down_binary64_1156` `add-log-exp_binary64_1124` `associate-r/_binary64_1032` `div-inv_binary64_1085`

Counts

1 → 33

Calls

1 calls:

7.0ms

(/.f64 1 (*.f64 -2 (/.f64 b c)))

series32.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

32.0ms

(/.f64 1 (*.f64 -2 (/.f64 b c)))

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	292
1	4873	292

prune22.0ms (0.5%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	26	26
Picked	0	1	1
Done	0	0	0
Total	36	27	63

Merged error: 9.1b

Counts

63 → 27

Compiler

Compiled 280 to 189 computations (32.5% saved)

regimes645.0ms (14.4%)

Compiler: Compiled 5416 to 4131 computations (23.7% 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%)

sample1.9s (43.2%)

Algorithm

1×

intervals

Results

417.0ms	7669×	body	128	valid
277.0ms	8970×	pre	128	true
50.0ms	970×	body	128	nan
34.0ms	331×	body	256	valid

Compiler

Compiled 1158 to 876 computations (24.4% saved)

Details

analyze268.0ms (6%)

sample36.0ms (0.8%)

simplify423.0ms (9.4%)

prune4.0ms (0.1%)

localize13.0ms (0.3%)

rewrite38.0ms (0.9%)

series450.0ms (10%)

simplify55.0ms (1.2%)

prune122.0ms (2.7%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune20.0ms (0.4%)

localize8.0ms (0.2%)

rewrite28.0ms (0.6%)

series121.0ms (2.7%)

simplify63.0ms (1.4%)

prune98.0ms (2.2%)

localize5.0ms (0.1%)

rewrite9.0ms (0.2%)

series32.0ms (0.7%)

simplify73.0ms (1.6%)

prune22.0ms (0.5%)

regimes645.0ms (14.4%)

bsearch5.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.9s (43.2%)

Profiling