Details

analyze559.0ms (12.5%)

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)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify139.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	126	10
1	126	10

prune4.0ms (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

Error

1.5b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
1.5b	(/.f64 x (-.f64 y (*.f64 z t)))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
9×	`times-frac_binary64_12019`
4×	`add-cbrt-cube_binary64_12049` `add-log-exp_binary64_12052` `add-exp-log_binary64_12051`
3×	`associate-/r_binary64_11957` `associate-/l_binary64_11958`
2×	`associate-/r/_binary64_11959` `flip3--_binary64_12017` `pow1_binary64_12074` `flip--_binary64_11988`
1×	`cancel-sign-sub-inv_binary64_11979` `clear-num_binary64_12012` `div-exp_binary64_12064` `div-inv_binary64_12010` `cbrt-undiv_binary64_12047` `diff-log_binary64_12105` `frac-2neg_binary64_12024` `sub-neg_binary64_12006`

Counts

2 → 41

Calls

2 calls:

9.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
6.0ms	(-.f64 y (*.f64 z t))

series99.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
35.0ms	(-.f64 y (*.f64 z t))

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4965	677
1	4965	677

prune50.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	7	48

Error

1.4b

Counts

48 → 7

Compiler

Compiled 680 to 191 computations (71.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
0.4b	(/.f64 1 (-.f64 y (*.f64 z t)))
1.4b	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_12035`
20×	`times-frac_binary64_12019` `*-un-lft-identity_binary64_12013`
19×	`add-cube-cbrt_binary64_12048`
16×	`add-exp-log_binary64_12051`
15×	`associate-r_binary64_11953`
10×	`add-cbrt-cube_binary64_12049`
6×	`pow1_binary64_12074`
5×	`add-log-exp_binary64_12052`
4×	`associate-/r/_binary64_11959` `div-exp_binary64_12064` `prod-exp_binary64_12062`
3×	`associate-/r_binary64_11957` `flip3--_binary64_12017` `unswap-sqr_binary64_11981` `associate-l_binary64_11954` `flip--_binary64_11988` `associate-/l_binary64_11958`
2×	`rec-exp_binary64_12063` `div-inv_binary64_12010` `cbrt-undiv_binary64_12047` `cbrt-unprod_binary64_12046` `1-exp_binary64_12057`
1×	`cancel-sign-sub-inv_binary64_11979` `un-div-inv_binary64_12011` `-commutative_binary64_11944` `clear-num_binary64_12012` `pow-flip_binary64_12087` `pow-prod-down_binary64_12084` `inv-pow_binary64_12098` `diff-log_binary64_12105` `frac-2neg_binary64_12024` `associate-r/_binary64_11955` `sub-neg_binary64_12006`

Counts

3 → 83

Calls

3 calls:

9.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))
5.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
3.0ms	(-.f64 y (*.f64 z t))

series152.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

59.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))
55.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
38.0ms	(-.f64 y (*.f64 z t))

simplify93.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4927	1203
1	4927	1203

prune75.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	92	7	99

Error

1.4b

Counts

99 → 7

Compiler

Compiled 1353 to 466 computations (65.6% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.5b	(/.f64 x (-.f64 y (*.f64 z t)))
14.6b	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
14.6b	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
14.6b	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`cbrt-prod_binary64_12044`
36×	`times-frac_binary64_12019`
33×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
8×	`associate-/r/_binary64_11959`
6×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051`
4×	`add-log-exp_binary64_12052` `flip3--_binary64_12017` `div-inv_binary64_12010` `pow1_binary64_12074` `flip--_binary64_11988`
3×	`associate-/r_binary64_11957` `pow1/3_binary64_12095` `associate-/l_binary64_11958` `cbrt-div_binary64_12045`
1×	`clear-num_binary64_12012` `div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `frac-2neg_binary64_12024`

Counts

4 → 101

Calls

4 calls:

4.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
4.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
4.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
4.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))

series587.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
176.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
158.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
70.0ms	(/.f64 x (-.f64 y (*.f64 z t)))

simplify131.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5295	2279

prune148.0ms (3.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	113	7	120

Error

1.4b

Counts

120 → 7

Compiler

Compiled 3846 to 495 computations (87.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.5b	(/.f64 x (-.f64 y (*.f64 z t)))
6.1b	(cbrt.f64 (-.f64 y (*.f64 z t)))
14.6b	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
14.6b	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`cbrt-prod_binary64_12044`
27×	`times-frac_binary64_12019` `add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
6×	`add-cbrt-cube_binary64_12049` `associate-/r/_binary64_11959` `add-exp-log_binary64_12051`
4×	`add-log-exp_binary64_12052` `flip3--_binary64_12017` `pow1_binary64_12074` `flip--_binary64_11988` `cbrt-div_binary64_12045`
3×	`associate-/r_binary64_11957` `pow1/3_binary64_12095` `div-inv_binary64_12010` `associate-/l_binary64_11958`
1×	`clear-num_binary64_12012` `div-exp_binary64_12064` `cbrt-undiv_binary64_12047` `frac-2neg_binary64_12024`

Counts

4 → 90

Calls

4 calls:

8.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
5.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
4.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
2.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))

series645.0ms (14.4%)

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
186.0ms	(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
167.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))
56.0ms	(/.f64 x (-.f64 y (*.f64 z t)))

simplify107.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4909	1876
1	4909	1876

prune132.0ms (2.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	102	7	109

Error

1.4b

Counts

109 → 7

Compiler

Compiled 3449 to 552 computations (84% saved)

regimes219.0ms (4.9%)

Accuracy

Total 0.1b remaining (3%)

Threshold costs 0.1b (3%)

Compiler

Compiled 1585 to 1104 computations (30.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms (0%)

sample1.1s (24.5%)

Algorithm

1×

intervals

Results

362.0ms	8000×	body	128	valid
16.0ms	369×	body	128	invalid

Compiler

Compiled 273 to 188 computations (31.1% saved)

Details

analyze559.0ms (12.5%)

sample16.0ms (0.4%)

simplify139.0ms (3.1%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite18.0ms (0.4%)

series99.0ms (2.2%)

simplify83.0ms (1.9%)

prune50.0ms (1.1%)

localize6.0ms (0.1%)

rewrite22.0ms (0.5%)

series152.0ms (3.4%)

simplify93.0ms (2.1%)

prune75.0ms (1.7%)

localize17.0ms (0.4%)

rewrite29.0ms (0.6%)

series587.0ms (13.1%)

simplify131.0ms (2.9%)

prune148.0ms (3.3%)

localize13.0ms (0.3%)

rewrite29.0ms (0.6%)

series645.0ms (14.4%)

simplify107.0ms (2.4%)

prune132.0ms (2.9%)

regimes219.0ms (4.9%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.1s (24.5%)

Profiling