Details

analyze519.0ms (26.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4577	52
1	4577	52
0	3	3
1	3	3

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
55.6%	39.2%	5.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample19.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	35×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify164.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (159.0ms)

Iter	Nodes	Cost
0	4625	13
1	4625	13

prune4.0ms (0.2%)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 29 to 28 computations (3.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)
0.2b	(*.f64 (-.f64 x y) (/.f64 4 z))

rewrite26.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_20560`
13×	`associate-r_binary64_20478`
12×	`*-un-lft-identity_binary64_20538`
10×	`times-frac_binary64_20544` `add-cube-cbrt_binary64_20573`
7×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
5×	`associate-l_binary64_20479`
4×	`pow1_binary64_20599` `add-log-exp_binary64_20577`
2×	`associate-*l/_binary64_20481` `cbrt-unprod_binary64_20571` `flip3--_binary64_20542` `flip--_binary64_20513` `prod-exp_binary64_20587` `unswap-sqr_binary64_20506` `frac-times_binary64_20548`
1×	`distribute-lft-out--_binary64_20490` `associate-r/_binary64_20480` `pow-prod-down_binary64_20609` `sum-log_binary64_20629` `+-commutative_binary64_20468` `flip3-+_binary64_20541` `-commutative_binary64_20469` `div-inv_binary64_20535` `div-exp_binary64_20589` `flip-+_binary64_20512` `difference-of-squares_binary64_20507` `cbrt-undiv_binary64_20572`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 x y) (/.f64 4 z))
8.0ms	(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)

series58.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(*.f64 (-.f64 x y) (/.f64 4 z))
24.0ms	(+.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) -2)

simplify67.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5525	810

prune46.0ms (2.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Compiler

Compiled 834 to 493 computations (40.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 (*.f64 (-.f64 x y) 4) z) -2)
0.0b	(/.f64 (*.f64 (-.f64 x y) 4) z)

rewrite17.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_20574` `add-exp-log_binary64_20576`
6×	`*-un-lft-identity_binary64_20538`
4×	`add-log-exp_binary64_20577` `add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
3×	`associate-/r*_binary64_20482` `times-frac_binary64_20544`
2×	`associate-*l/_binary64_20481` `associate-/l/_binary64_20485` `pow1_binary64_20599` `div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
1×	`clear-num_binary64_20537` `cbrt-unprod_binary64_20571` `associate-/l*_binary64_20483` `flip3--_binary64_20542` `sum-log_binary64_20629` `frac-2neg_binary64_20549` `+-commutative_binary64_20468` `flip--_binary64_20513` `flip3-+_binary64_20541` `prod-exp_binary64_20587` `div-inv_binary64_20535` `flip-+_binary64_20512` `distribute-lft-out_binary64_20489`

Counts

2 → 35

Calls

2 calls:

8.0ms	(+.f64 (/.f64 (*.f64 (-.f64 x y) 4) z) -2)
7.0ms	(/.f64 (*.f64 (-.f64 x y) 4) z)

series58.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

35.0ms	(/.f64 (*.f64 (-.f64 x y) 4) z)
23.0ms	(+.f64 (/.f64 (*.f64 (-.f64 x y) 4) z) -2)

simplify56.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5035	575

prune28.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Compiler

Compiled 565 to 331 computations (41.4% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (-.f64 x y) (*.f64 z 1/2))
0.3b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

rewrite21.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_20574` `add-log-exp_binary64_20577` `add-exp-log_binary64_20576`
5×	`*-un-lft-identity_binary64_20538` `add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560`
4×	`cancel-sign-sub-inv_binary64_20504` `associate--l+_binary64_20475`
3×	`diff-log_binary64_20630` `associate-/r*_binary64_20482` `times-frac_binary64_20544`
2×	`associate-*r/_binary64_20480` `associate-/l/_binary64_20485` `sub-neg_binary64_20531` `pow1_binary64_20599` `flip3--_binary64_20542` `flip--_binary64_20513` `div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
1×	`associate--l-_binary64_20476` `clear-num_binary64_20537` `cbrt-unprod_binary64_20571` `associate-/l*_binary64_20483` `frac-2neg_binary64_20549` `prod-exp_binary64_20587` `div-inv_binary64_20535`

Counts

2 → 41

Calls

2 calls:

11.0ms	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
7.0ms	(-.f64 (-.f64 x y) (*.f64 z 1/2))

series58.0ms (3%)

Counts

2 → 6

Calls

2 calls:

41.0ms	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
17.0ms	(-.f64 (-.f64 x y) (*.f64 z 1/2))

simplify53.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	6257	692

prune36.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	47	2	49

Error

Counts

49 → 2

Compiler

Compiled 692 to 390 computations (43.6% saved)

regimes68.0ms (3.5%)

Accuracy

Total 0.0b remaining (91.2%)

Threshold costs 0.0b (91.2%)

Compiler

Compiled 354 to 336 computations (5.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample648.0ms (32.9%)

Algorithm

1×

intervals

Results

275.0ms	8000×	body	128	valid
29.0ms	898×	body	128	invalid

Compiler

Compiled 98 to 93 computations (5.1% saved)

Details

analyze519.0ms (26.4%)

sample19.0ms (0.9%)

simplify164.0ms (8.3%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite26.0ms (1.3%)

series58.0ms (2.9%)

simplify67.0ms (3.4%)

prune46.0ms (2.4%)

localize6.0ms (0.3%)

rewrite17.0ms (0.9%)

series58.0ms (2.9%)

simplify56.0ms (2.9%)

prune28.0ms (1.4%)

localize7.0ms (0.4%)

rewrite21.0ms (1.1%)

series58.0ms (3%)

simplify53.0ms (2.7%)

prune36.0ms (1.8%)

regimes68.0ms (3.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample648.0ms (32.9%)

Profiling