Details

analyze287.0ms (6.4%)

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 (0.8%)

Algorithm

1×

intervals

Results

15.0ms	245×	body	128	valid
10.0ms	292×	pre	128	true
2.0ms	36×	body	128	nan
1.0ms	11×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify377.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (283.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	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: 29.2b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

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 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
29.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite40.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1123`
14×	`*-un-lft-identity_binary64_1101` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`pow1_binary64_1162`
8×	`add-log-exp_binary64_1140` `add-cube-cbrt_binary64_1136`
6×	`difference-of-squares_binary64_1070` `associate-/l*_binary64_1046` `times-frac_binary64_1107`
4×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `cancel-sign-sub-inv_binary64_1067`
3×	`distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `sqrt-prod_binary64_1117` `associate-r_binary64_1041` `pow-prod-down_binary64_1172`
2×	`diff-log_binary64_1193` `sub-neg_binary64_1094` `associate-/l/_binary64_1048` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-l_binary64_1042` `associate-/r_binary64_1045` `div-sub_binary64_1106`

Counts

4 → 77

Calls

4 calls:

15.0ms	(/.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))

series224.0ms (5%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
64.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
33.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
15.0ms	(.f64 (.f64 3 a) c)

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5180	1823

prune126.0ms (2.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	73	16	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	16	90

Merged error: 9.5b

Counts

90 → 16

Compiler

Compiled 2425 to 1486 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: 9.5b

Counts

16 → 16

Compiler

Compiled 444 to 320 computations (27.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.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-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
17×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
16×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
10×	`add-sqr-sqrt_binary64_1123`
8×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
7×	`times-frac_binary64_1107` `associate-r_binary64_1041`
5×	`pow1_binary64_1162`
4×	`associate-/r*_binary64_1045`
3×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-l_binary64_1042`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-r/_binary64_1043` `associate-/l_binary64_1046`
1×	`*-commutative_binary64_1032` `associate-/l/_binary64_1048` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

3 → 78

Calls

3 calls:

9.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
7.0ms	(/.f64 (*.f64 a c) b)
7.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))

series67.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
21.0ms	(/.f64 (*.f64 a c) b)
21.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify51.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune99.0ms (2.2%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	72	15	87
Fresh	0	14	14
Picked	1	0	1
Done	1	0	1
Total	74	29	103

Merged error: 9.4b

Counts

103 → 29

Compiler

Compiled 1721 to 1034 computations (39.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 1 (*.f64 (/.f64 b c) -2))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_1139`
10×	`add-cbrt-cube_binary64_1137`
9×	`div-exp_binary64_1152`
6×	`prod-exp_binary64_1150`
4×	`pow1_binary64_1162` `cbrt-undiv_binary64_1135`
3×	`1-exp_binary64_1145` `add-sqr-sqrt_binary64_1123` `-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `associate-/l_binary64_1046` `times-frac_binary64_1107` `rec-exp_binary64_1151`
2×	`cbrt-unprod_binary64_1134` `pow-flip_binary64_1175`
1×	`inv-pow_binary64_1186` `add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/r/_binary64_1047` `pow-prod-down_binary64_1172` `associate-l/_binary64_1044` `associate-/r_binary64_1045`

Counts

1 → 33

Calls

1 calls:

6.0ms

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

series17.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify96.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4846	295
1	4846	295

prune24.0ms (0.5%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	3	25	28
Picked	0	1	1
Done	0	0	0
Total	34	31	65

Merged error: 9.3b

Counts

65 → 31

Compiler

Compiled 280 to 193 computations (31.1% saved)

regimes848.0ms (18.9%)

Compiler: Compiled 5841 to 4506 computations (22.9% saved)

bsearch4.0ms (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%)

sample2.0s (45.3%)

Algorithm

1×

intervals

Results

404.0ms	7669×	body	128	valid
299.0ms	8951×	pre	128	true
48.0ms	951×	body	128	nan
33.0ms	331×	body	256	valid

Compiler

Compiled 1243 to 951 computations (23.5% saved)

Details

analyze287.0ms (6.4%)

sample38.0ms (0.8%)

simplify377.0ms (8.4%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite40.0ms (0.9%)

series224.0ms (5%)

simplify59.0ms (1.3%)

prune126.0ms (2.8%)

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%)

series67.0ms (1.5%)

simplify51.0ms (1.1%)

prune99.0ms (2.2%)

localize5.0ms (0.1%)

rewrite8.0ms (0.2%)

series17.0ms (0.4%)

simplify96.0ms (2.1%)

prune24.0ms (0.5%)

regimes848.0ms (18.9%)

bsearch4.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.0s (45.3%)

Profiling