Details

analyze36.0ms (1.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample30.0ms (1.1%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	6×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify161.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4836	17
1	4836	17

prune3.0ms (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

Error

13.6b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
28.1b	(/.f64 (.f64 b b) (.f64 a a))

rewrite45.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
4×	`prod-exp_binary64_1150` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `cbrt-unprod_binary64_1134` `add-sqr-sqrt_binary64_1123`
3×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101` `sqrt-prod_binary64_1117`
2×	`add-log-exp_binary64_1140`
1×	`frac-2neg_binary64_1112` `times-frac_binary64_1107` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114`

Counts

2 → 34

Calls

2 calls:

7.0ms	(/.f64 (.f64 b b) (.f64 a a))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 640 to 268 computations (58.1% saved)

series171.0ms (6.2%)

Error

13.6b

Counts

2 → 12

Calls

2 calls:

88.0ms	(/.f64 (.f64 b b) (.f64 a a))
74.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 396 to 374 computations (5.6% saved)

simplify92.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4903	515
1	4903	515

prune40.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Error

Counts

47 → 2

Compiler

Compiled 580 to 379 computations (34.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
0.4b	(pow.f64 (/.f64 b a) 6)
26.4b	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

rewrite87.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`unpow-prod-down_binary64_1180`
21×	`add-sqr-sqrt_binary64_1123`
20×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
18×	`times-frac_binary64_1107`
17×	`cbrt-prod_binary64_1132`
6×	`add-exp-log_binary64_1139`
5×	`pow1_binary64_1162`
3×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `pow-unpow_binary64_1178` `sqrt-prod_binary64_1117`
2×	`div-inv_binary64_1098` `sqr-pow_binary64_1073` `pow-exp_binary64_1169`
1×	`pow1/3_binary64_1183` `pow-pow_binary64_1173` `pow-to-exp_binary64_1170` `div-exp_binary64_1152` `pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114`

Counts

3 → 66

Calls

3 calls:

5.0ms	(pow.f64 (/.f64 b a) 6)
4.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))

Compiler

Compiled 1202 to 814 computations (32.3% saved)

series275.0ms (9.9%)

Error

Counts

3 → 18

Calls

3 calls:

120.0ms	(pow.f64 (/.f64 b a) 6)
81.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))
60.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))

Compiler

Compiled 612 to 578 computations (5.6% saved)

simplify76.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5506	1034

prune75.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	84	2	86

Error

Counts

86 → 2

Compiler

Compiled 1152 to 798 computations (30.7% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
0.4b	(pow.f64 (/.f64 b a) 2)
3.7b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite100.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`unpow-prod-down_binary64_1180`
22×	`add-sqr-sqrt_binary64_1123`
21×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
19×	`log-pow_binary64_1190`
18×	`exp-prod_binary64_1153` `times-frac_binary64_1107`
6×	`pow1_binary64_1162` `add-exp-log_binary64_1139`
3×	`log-prod_binary64_1187` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `pow-unpow_binary64_1178` `sqrt-prod_binary64_1117`
2×	`div-inv_binary64_1098` `unpow2_binary64_1166` `sqr-pow_binary64_1073` `pow-exp_binary64_1169`
1×	`rem-log-exp_binary64_1142` `pow-pow_binary64_1173` `pow-to-exp_binary64_1170` `div-exp_binary64_1152` `pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114`

Counts

3 → 72

Calls

3 calls:

7.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
5.0ms	(pow.f64 (/.f64 b a) 2)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

Compiler

Compiled 1364 to 943 computations (30.9% saved)

series375.0ms (13.5%)

Error

Counts

3 → 18

Calls

3 calls:

217.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
76.0ms	(pow.f64 (/.f64 b a) 2)
66.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

Compiler

Compiled 630 to 588 computations (6.7% saved)

simplify63.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5039	948

prune77.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	2	92

Error

Counts

92 → 2

Compiler

Compiled 1265 to 834 computations (34.1% saved)

regimes117.0ms (4.2%)

Accuracy

Total 0.0b remaining (83.1%)

Threshold costs 0.0b (83.1%)

Compiler

Compiled 835 to 673 computations (19.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	16
1	21	16

end0.0ms (0%)

sample922.0ms (33.2%)

Algorithm

1×

intervals

Results

293.0ms	8000×	body	128	valid
152.0ms	8000×	pre	128	true
2.0ms	123×	pre	128	false

Compiler

Compiled 124 to 102 computations (17.7% saved)

Details

analyze36.0ms (1.3%)

sample30.0ms (1.1%)

simplify161.0ms (5.8%)

prune3.0ms (0.1%)

localize7.0ms (0.3%)

rewrite45.0ms (1.6%)

series171.0ms (6.2%)

simplify92.0ms (3.3%)

prune40.0ms (1.4%)

localize8.0ms (0.3%)

rewrite87.0ms (3.1%)

series275.0ms (9.9%)

simplify76.0ms (2.8%)

prune75.0ms (2.7%)

localize9.0ms (0.3%)

rewrite100.0ms (3.6%)

series375.0ms (13.5%)

simplify63.0ms (2.3%)

prune77.0ms (2.8%)

regimes117.0ms (4.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample922.0ms (33.2%)

Profiling