Details

analyze341.0ms (8.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5028	56
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample30.0ms (0.8%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify132.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4787	28
1	4787	28

prune3.0ms (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

Error

32.1b

Counts

2 → 1

Compiler

Compiled 38 to 24 computations (36.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
2.7b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
31.4b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

rewrite115.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

32.1b

Rules

11×	`add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `*-un-lft-identity_binary64_16105`
9×	`times-frac_binary64_16111`
7×	`add-log-exp_binary64_16144`
5×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
3×	`pow1_binary64_16166` `associate-/l_binary64_16050` `associate-/r_binary64_16049`
2×	`flip3--_binary64_16109` `associate-/l/_binary64_16052` `flip--_binary64_16080` `flip3-+_binary64_16108` `associate-/r/_binary64_16051` `flip-+_binary64_16079`
1×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `frac-2neg_binary64_16116` `div-sub_binary64_16110` `clear-num_binary64_16104` `div-inv_binary64_16102` `diff-log_binary64_16197` `sub-neg_binary64_16098` `cancel-sign-sub-inv_binary64_16071` `sum-log_binary64_16196` `+-commutative_binary64_16035`

Counts

3 → 55

Calls

3 calls:

10.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
5.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

Compiler

Compiled 1867 to 967 computations (48.2% saved)

series540.0ms (14%)

Error

0.5b

Counts

3 → 39

Calls

3 calls:

209.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
153.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
147.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

Compiler

Compiled 1446 to 1125 computations (22.2% saved)

simplify92.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5063	2122

prune112.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	5	95

Error

0.4b

Counts

95 → 5

Compiler

Compiled 2225 to 1039 computations (53.3% saved)

localize3.0ms (0.1%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series1.0ms (0%)

Error: 0.4b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms (0.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Error

0.4b

Counts

5 → 5

Compiler

Compiled 33 to 25 computations (24.2% saved)

localize24.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 y y) 4)
0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))))
2.7b	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))
31.4b	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))

rewrite180.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

22×	`add-sqr-sqrt_binary64_16127`
21×	`add-cube-cbrt_binary64_16140` `*-un-lft-identity_binary64_16105`
18×	`times-frac_binary64_16111`
16×	`log-pow_binary64_16194`
15×	`exp-prod_binary64_16157`
11×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
10×	`pow1_binary64_16166`
6×	`add-log-exp_binary64_16144`
4×	`flip3-+_binary64_16108` `flip-+_binary64_16079` `associate-/r/_binary64_16051`
3×	`associate-/l_binary64_16050` `associate-/r_binary64_16049` `log-prod_binary64_16191` `pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `associate-r_binary64_16045`
2×	`div-inv_binary64_16102` `associate-/l/_binary64_16052`
1×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `frac-2neg_binary64_16116` `clear-num_binary64_16104` `sum-log_binary64_16196` `+-commutative_binary64_16035` `rem-log-exp_binary64_16146` `unswap-sqr_binary64_16073` `associate-l_binary64_16046` `*-commutative_binary64_16036`

Counts

4 → 88

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
11.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))))
7.0ms	(.f64 (.f64 y y) 4)
4.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))

Compiler

Compiled 3177 to 1475 computations (53.6% saved)

series663.0ms (17.2%)

Error

0.4b

Counts

4 → 45

Calls

4 calls:

267.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))))
177.0ms	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y y) -4)) (+.f64 (.f64 x x) (.f64 (.f64 y y) 4)))
152.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) -4))
26.0ms	(.f64 (.f64 y y) 4)

Compiler

Compiled 1713 to 1423 computations (16.9% saved)

simplify132.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4941	2992
1	4941	2992

prune169.0ms (4.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	133	5	138

Error

0.4b

Counts

138 → 5

Compiler

Compiled 3416 to 1598 computations (53.2% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.4b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Error

0.4b

Counts

5 → 5

Compiler

Compiled 0 to 0 computations (0% saved)

regimes337.0ms (8.8%)

Accuracy

Total 12.7b remaining (97.2%)

Threshold costs 0b (0%)

Compiler

Compiled 1019 to 759 computations (25.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	85	125
1	85	125

end0.0ms (0%)

sample931.0ms (24.2%)

Algorithm

1×

intervals

Results

392.0ms

8000×

body

128

valid

Compiler

Compiled 322 to 207 computations (35.7% saved)

Details

analyze341.0ms (8.9%)

sample30.0ms (0.8%)

simplify132.0ms (3.4%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite115.0ms (3%)

series540.0ms (14%)

simplify92.0ms (2.4%)

prune112.0ms (2.9%)

localize3.0ms (0.1%)

rewrite1.0ms (0%)

series1.0ms (0%)

simplify13.0ms (0.3%)

prune6.0ms (0.1%)

localize24.0ms (0.6%)

rewrite180.0ms (4.7%)

series663.0ms (17.2%)

simplify132.0ms (3.4%)

prune169.0ms (4.4%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify11.0ms (0.3%)

prune1.0ms (0%)

regimes337.0ms (8.8%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample931.0ms (24.2%)

Profiling