Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample84.0ms (1.5%)

Algorithm

1×

intervals

Results

49.0ms	127×	body	1024	valid
14.0ms	66×	body	512	valid
9.0ms	16×	body	2048	valid
4.0ms	34×	body	256	valid
1.0ms	13×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify186.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	450	15
1	450	15

prune5.0ms (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: 58.6b

Counts

2 → 2

Compiler

Compiled 54 to 49 computations (9.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
4.9b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_1111`
52×	`add-sqr-sqrt_binary64_1133`
48×	`times-frac_binary64_1117`
30×	`log-prod_binary64_1197`
25×	`add-cube-cbrt_binary64_1146`
18×	`difference-of-squares_binary64_1080`
13×	`distribute-lft-out_binary64_1062`
9×	`distribute-lft-out--_binary64_1063`
7×	`add-exp-log_binary64_1149`
6×	`associate-/r*_binary64_1055`
4×	`add-cbrt-cube_binary64_1147` `associate-/l*_binary64_1056` `associate-/r/_binary64_1057`
3×	`pow1_binary64_1172`
2×	`div-inv_binary64_1108` `flip3--_binary64_1115` `associate-/l/_binary64_1058` `div-exp_binary64_1162` `add-log-exp_binary64_1150` `rem-log-exp_binary64_1152` `flip--_binary64_1086`
1×	`flip-+_binary64_1085` `frac-2neg_binary64_1122` `flip3-+_binary64_1114` `log-pow_binary64_1200` `cbrt-undiv_binary64_1145` `log-div_binary64_1198` `clear-num_binary64_1110`

Counts

2 → 91

Calls

2 calls:

10.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series86.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
31.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify89.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5296	1898

prune249.0ms (4.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	97	2	99

Merged error: 0b

Counts

99 → 2

Compiler

Compiled 3910 to 3323 computations (15% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1133`
15×	`associate-l_binary64_1052`
13×	`add-exp-log_binary64_1149`
10×	`-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146` `associate-r*_binary64_1051`
8×	`unpow-prod-down_binary64_1190`
7×	`add-cbrt-cube_binary64_1147` `unswap-sqr_binary64_1079`
6×	`prod-exp_binary64_1160`
5×	`add-log-exp_binary64_1150`
4×	`cube-prod_binary64_1139` `sqr-pow_binary64_1083`
3×	`pow1_binary64_1172`
2×	`*-commutative_binary64_1042` `cbrt-unprod_binary64_1144` `pow-exp_binary64_1179` `pow-to-exp_binary64_1180`
1×	`cube-mult_binary64_1141` `flip-+_binary64_1085` `flip3-+_binary64_1114` `+-commutative_binary64_1041` `unpow3_binary64_1177` `sum-log_binary64_1202`

Counts

3 → 67

Calls

3 calls:

9.0ms	(*.f64 (pow.f64 x 3) 2/3)
6.0ms	(*.f64 2/5 (pow.f64 x 5))
6.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))

series303.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

188.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
64.0ms	(*.f64 2/5 (pow.f64 x 5))
50.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify100.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4838	889
1	4838	889

prune96.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

Compiler

Compiled 1830 to 1373 computations (25% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
5.0b	(log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
5.0b	(log.f64 (sqrt.f64 (-.f64 1 x)))
5.1b	(log.f64 (cbrt.f64 (+.f64 1 x)))

rewrite95.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

169×	`*-un-lft-identity_binary64_1111`
168×	`log-prod_binary64_1197`
126×	`times-frac_binary64_1117`
124×	`add-sqr-sqrt_binary64_1133`
90×	`sqrt-prod_binary64_1127`
84×	`cbrt-prod_binary64_1142`
79×	`add-cube-cbrt_binary64_1146`
69×	`associate-+r+_binary64_1043`
30×	`difference-of-squares_binary64_1080`
23×	`associate-+l+_binary64_1044` `distribute-lft-out_binary64_1062`
15×	`distribute-lft-out--_binary64_1063`
14×	`associate--l+_binary64_1048`
11×	`pow1_binary64_1172`
10×	`log-pow_binary64_1200`
9×	`add-exp-log_binary64_1149`
8×	`sqrt-div_binary64_1128` `log-div_binary64_1198`
7×	`distribute-lft-in_binary64_1060` `distribute-rgt-in_binary64_1061`
6×	`cancel-sign-sub-inv_binary64_1077` `add-log-exp_binary64_1150`
4×	`add-cbrt-cube_binary64_1147` `flip3--_binary64_1115` `rem-log-exp_binary64_1152` `flip--_binary64_1086` `associate-/r/_binary64_1057`
2×	`pow1/2_binary64_1191` `div-inv_binary64_1108` `flip-+_binary64_1085` `associate--r-_binary64_1050` `flip3-+_binary64_1114` `sqrt-pow1_binary64_1129` `sum-log_binary64_1202` `cbrt-div_binary64_1143`
1×	`associate-+l-_binary64_1046` `pow1/3_binary64_1193` `diff-log_binary64_1203` `+-commutative_binary64_1041` `div-exp_binary64_1162` `associate-+r-_binary64_1045` `sub-neg_binary64_1104`

Counts

4 → 229

Calls

4 calls:

31.0ms	(+.f64 (-.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
13.0ms	(log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
5.0ms	(log.f64 (cbrt.f64 (+.f64 1 x)))

series724.0ms (12.9%)

Counts

4 → 12

Calls

4 calls:

470.0ms	(+.f64 (-.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
162.0ms	(log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
54.0ms	(log.f64 (cbrt.f64 (+.f64 1 x)))
38.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))

simplify142.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4947	7495
1	4947	7495

prune723.0ms (12.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	241	2	243

Merged error: 0b

Counts

243 → 2

Compiler

Compiled 8963 to 7586 computations (15.4% saved)

regimes10.0ms (0.2%)

Compiler: Compiled 49 to 43 computations (12.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	25
1	23	25

end0.0ms (0%)

sample2.6s (46.8%)

Algorithm

1×

intervals

Results

1.6s	4029×	body	1024	valid
442.0ms	2021×	body	512	valid
225.0ms	391×	body	2048	valid
121.0ms	979×	body	256	valid
34.0ms	580×	body	128	valid

Compiler

Compiled 77 to 68 computations (11.7% saved)

Details

analyze5.0ms (0.1%)

sample84.0ms (1.5%)

simplify186.0ms (3.3%)

prune5.0ms (0.1%)

localize8.0ms (0.1%)

rewrite28.0ms (0.5%)

series86.0ms (1.5%)

simplify89.0ms (1.6%)

prune249.0ms (4.4%)

localize12.0ms (0.2%)

rewrite27.0ms (0.5%)

series303.0ms (5.4%)

simplify100.0ms (1.8%)

prune96.0ms (1.7%)

localize16.0ms (0.3%)

rewrite95.0ms (1.7%)

series724.0ms (12.9%)

simplify142.0ms (2.5%)

prune723.0ms (12.9%)

regimes10.0ms (0.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (46.8%)

Profiling