Details

analyze1.8s (9.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
25%	74.9%	0.2%	7
25%	74.9%	0.2%	8
34.3%	65.5%	0.2%	9
39%	60.8%	0.2%	10
48.3%	51.5%	0.2%	11
53.7%	46.1%	0.2%	12
63.1%	36.7%	0.2%	13
64%	35.6%	0.4%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample270.0ms (1.4%)

Algorithm

1×

intervals

Results

184.0ms	256×	body	128	valid
1.0ms	14×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify520.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	126	10
1	126	10

prune4.0ms (0%)

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: 1.6b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
1.6b	(/.f64 x (-.f64 y (*.f64 z t)))

rewrite45.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `*-un-lft-identity_binary64_19515`
9×	`times-frac_binary64_19521`
4×	`add-log-exp_binary64_19554` `add-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
3×	`associate-/r_binary64_19459` `associate-/l_binary64_19460`
2×	`flip3--_binary64_19519` `associate-/r/_binary64_19461` `pow1_binary64_19576` `flip--_binary64_19490`
1×	`cancel-sign-sub-inv_binary64_19481` `diff-log_binary64_19607` `div-inv_binary64_19512` `div-exp_binary64_19566` `clear-num_binary64_19514` `sub-neg_binary64_19508` `cbrt-undiv_binary64_19549` `frac-2neg_binary64_19526`

Counts

2 → 41

Calls

2 calls:

20.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
16.0ms	(-.f64 y (*.f64 z t))

series362.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

247.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
116.0ms	(-.f64 y (*.f64 z t))

simplify230.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (192.0ms)

Iter	Nodes	Cost
0	4965	677
1	4965	677

prune903.0ms (4.6%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	18	29	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	30	48

Merged error: 1.5b

Counts

48 → 30

Compiler

Compiled 1067 to 425 computations (60.2% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (neg.f64 (*.f64 z t)))
1.6b	(/.f64 x (+.f64 y (neg.f64 (*.f64 z t))))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_19515`
12×	`times-frac_binary64_19521`
11×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537`
6×	`add-log-exp_binary64_19554`
5×	`distribute-lft-out_binary64_19466`
4×	`associate-/r*_binary64_19459` `add-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
3×	`associate-/l*_binary64_19460`
2×	`flip-+_binary64_19489` `associate-/r/_binary64_19461` `pow1_binary64_19576` `flip3-+_binary64_19518` `sum-log_binary64_19606`
1×	`neg-log_binary64_19608` `unsub-neg_binary64_19509` `div-inv_binary64_19512` `div-exp_binary64_19566` `clear-num_binary64_19514` `cbrt-undiv_binary64_19549` `neg-sub0_binary64_19510` `frac-2neg_binary64_19526` `+-commutative_binary64_19445` `associate-+r-_binary64_19449`

Counts

2 → 48

Calls

2 calls:

13.0ms	(/.f64 x (+.f64 y (neg.f64 (*.f64 z t))))
8.0ms	(+.f64 y (neg.f64 (*.f64 z t)))

series309.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

202.0ms	(/.f64 x (+.f64 y (neg.f64 (*.f64 z t))))
107.0ms	(+.f64 y (neg.f64 (*.f64 z t)))

simplify195.0ms (1%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	5249	729

prune537.0ms (2.7%)

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	28	28
Picked	0	1	1
Done	0	1	1
Total	49	35	84

Merged error: 1.5b

Counts

84 → 35

Compiler

Compiled 1237 to 493 computations (60.1% saved)

localize33.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (neg.f64 (*.f64 z t)))
1.6b	(/.f64 x (.f64 1 (+.f64 y (neg.f64 (.f64 z t)))))

rewrite49.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_19553`
7×	`add-cbrt-cube_binary64_19551`
6×	`add-log-exp_binary64_19554` `*-un-lft-identity_binary64_19515`
4×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537`
3×	`times-frac_binary64_19521` `div-exp_binary64_19566` `associate-/l*_binary64_19460`
2×	`associate-*r/_binary64_19457` `flip-+_binary64_19489` `associate-/r/_binary64_19461` `pow1_binary64_19576` `cbrt-undiv_binary64_19549` `prod-exp_binary64_19564` `flip3-+_binary64_19518` `sum-log_binary64_19606`
1×	`neg-log_binary64_19608` `distribute-lft-out_binary64_19466` `cbrt-unprod_binary64_19548` `associate-/r*_binary64_19459` `unsub-neg_binary64_19509` `div-inv_binary64_19512` `clear-num_binary64_19514` `1-exp_binary64_19559` `neg-sub0_binary64_19510` `frac-2neg_binary64_19526` `+-commutative_binary64_19445` `associate-+r-_binary64_19449`

Counts

2 → 39

Calls

2 calls:

25.0ms	(/.f64 x (.f64 1 (+.f64 y (neg.f64 (.f64 z t)))))
10.0ms	(+.f64 y (neg.f64 (*.f64 z t)))

series283.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

173.0ms	(/.f64 x (.f64 1 (+.f64 y (neg.f64 (.f64 z t)))))
111.0ms	(+.f64 y (neg.f64 (*.f64 z t)))

simplify188.0ms (1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	4933	481
1	4933	481

prune1.0s (5.3%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	35	10	45
Fresh	1	31	32
Picked	0	1	1
Done	0	2	2
Total	36	44	80

Merged error: 1.5b

Counts

80 → 44

Compiler

Compiled 1217 to 616 computations (49.4% saved)

localize38.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
1.6b	(/.f64 x (.f64 1 (.f64 1 (-.f64 y (*.f64 z t)))))

rewrite61.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64_19553`
11×	`add-cbrt-cube_binary64_19551`
10×	`prod-exp_binary64_19564`
7×	`div-exp_binary64_19566`
5×	`1-exp_binary64_19559`
4×	`associate-r/_binary64_19457` `add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `add-log-exp_binary64_19554` `-un-lft-identity_binary64_19515`
3×	`cbrt-unprod_binary64_19548` `times-frac_binary64_19521` `associate-/l*_binary64_19460` `cbrt-undiv_binary64_19549`
2×	`flip3--_binary64_19519` `associate-/r/_binary64_19461` `pow1_binary64_19576` `flip--_binary64_19490`
1×	`cancel-sign-sub-inv_binary64_19481` `diff-log_binary64_19607` `associate-/r*_binary64_19459` `div-inv_binary64_19512` `clear-num_binary64_19514` `sub-neg_binary64_19508` `frac-2neg_binary64_19526`

Counts

2 → 41

Calls

2 calls:

32.0ms	(/.f64 x (.f64 1 (.f64 1 (-.f64 y (*.f64 z t)))))
15.0ms	(-.f64 y (*.f64 z t))

series331.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

201.0ms	(/.f64 x (.f64 1 (.f64 1 (-.f64 y (*.f64 z t)))))
130.0ms	(-.f64 y (*.f64 z t))

simplify264.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (215.0ms)

Iter	Nodes	Cost
0	4894	537
1	4894	537

prune822.0ms (4.2%)

Pruning

51 alts after pruning (47 fresh and 4 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	40	40
Picked	0	1	1
Done	0	3	3
Total	40	51	91

Merged error: 1.5b

Counts

91 → 51

Compiler

Compiled 573 to 191 computations (66.7% saved)

regimes4.4s (22.6%)

Compiler: Compiled 8259 to 6217 computations (24.7% saved)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	39	10
1	39	10

end0.0ms (0%)

sample6.8s (34.6%)

Algorithm

1×

intervals

Results

854.0ms	8000×	body	128	valid
35.0ms	361×	body	128	invalid

Compiler

Compiled 1117 to 836 computations (25.2% saved)

Pareto

Details

analyze1.8s (9.3%)

sample270.0ms (1.4%)

simplify520.0ms (2.6%)

prune4.0ms (0%)

localize25.0ms (0.1%)

rewrite45.0ms (0.2%)

series362.0ms (1.8%)

simplify230.0ms (1.2%)

prune903.0ms (4.6%)

localize17.0ms (0.1%)

rewrite28.0ms (0.1%)

series309.0ms (1.6%)

simplify195.0ms (1%)

prune537.0ms (2.7%)

localize33.0ms (0.2%)

rewrite49.0ms (0.3%)

series283.0ms (1.4%)

simplify188.0ms (1%)

prune1.0s (5.3%)

localize38.0ms (0.2%)

rewrite61.0ms (0.3%)

series331.0ms (1.7%)

simplify264.0ms (1.3%)

prune822.0ms (4.2%)

regimes4.4s (22.6%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

end0.0ms (0%)

sample6.8s (34.6%)

Profiling