Details

analyze880.0ms (10%)

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	99×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify130.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	551	13
1	551	13

prune2.0ms (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

Error

9.0b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.4b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
0.8b	(-.f64 (.f64 x y) (.f64 z t))
0.8b	(-.f64 (.f64 x y) (.f64 z t))
8.4b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_18151` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186`
9×	`times-frac_binary64_18157`
4×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189` `add-log-exp_binary64_18190`
3×	`associate-/l_binary64_18096` `associate-/r_binary64_18095`
2×	`flip3--_binary64_18155` `pow1_binary64_18212` `associate-/l/_binary64_18098` `flip--_binary64_18126`
1×	`div-exp_binary64_18202` `div-inv_binary64_18148` `diff-log_binary64_18243` `cancel-sign-sub-inv_binary64_18117` `sub-neg_binary64_18144` `clear-num_binary64_18150` `frac-2neg_binary64_18162` `div-sub_binary64_18156` `cbrt-undiv_binary64_18185`

Counts

2 → 42

Calls

4 calls:

7.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
4.0ms	(-.f64 (.f64 x y) (.f64 z t))
0.0ms	(-.f64 (.f64 x y) (.f64 z t))
0.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

series448.0ms (5.1%)

Counts

2 → 51

Calls

2 calls:

300.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
147.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 682 to 706 computations (-3.5% saved)

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4946	1303
1	4946	1303

prune94.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	84	9	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Error

8.6b

Counts

94 → 10

Compiler

Compiled 1253 to 225 computations (82% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.5b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
0.8b	(-.f64 (.f64 x y) (.f64 z t))
0.8b	(-.f64 (.f64 x y) (.f64 z t))
8.5b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_18173`
13×	`associate-r_binary64_18091`
11×	`*-un-lft-identity_binary64_18151` `times-frac_binary64_18157` `add-exp-log_binary64_18189`
10×	`add-cube-cbrt_binary64_18186`
7×	`add-cbrt-cube_binary64_18187`
4×	`pow1_binary64_18212` `add-log-exp_binary64_18190` `prod-exp_binary64_18200`
3×	`flip3--_binary64_18155` `unswap-sqr_binary64_18119` `flip--_binary64_18126` `associate-l_binary64_18092`
2×	`div-exp_binary64_18202` `associate-*l/_binary64_18094` `frac-times_binary64_18161` `cbrt-unprod_binary64_18184`
1×	`1-exp_binary64_18195` `div-inv_binary64_18148` `diff-log_binary64_18243` `associate-r/_binary64_18093` `rec-exp_binary64_18201` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `un-div-inv_binary64_18149` `cancel-sign-sub-inv_binary64_18117` `sub-neg_binary64_18144` `cbrt-undiv_binary64_18185`

Counts

2 → 52

Calls

4 calls:

12.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
4.0ms	(-.f64 (.f64 x y) (.f64 z t))
0.0ms	(-.f64 (.f64 x y) (.f64 z t))
0.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))

series452.0ms (5.1%)

Counts

2 → 51

Calls

2 calls:

301.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
151.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 754 to 778 computations (-3.2% saved)

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5304	1414

prune70.0ms (0.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	103	10	113

Error

8.6b

Counts

113 → 10

Compiler

Compiled 1469 to 393 computations (73.2% saved)

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

8.4b	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
0.8b	(-.f64 (.f64 x y) (.f64 z t))
0.5b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
0.5b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
0.8b	(-.f64 (.f64 x y) (.f64 z t))
8.4b	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_18157`
55×	`*-un-lft-identity_binary64_18151` `add-sqr-sqrt_binary64_18173` `add-cube-cbrt_binary64_18186`
18×	`associate-/r*_binary64_18095`
16×	`add-exp-log_binary64_18189`
11×	`associate-/r/_binary64_18097`
10×	`add-cbrt-cube_binary64_18187`
8×	`div-exp_binary64_18202`
6×	`div-inv_binary64_18148` `flip3--_binary64_18155` `associate-/l*_binary64_18096` `flip--_binary64_18126`
5×	`add-log-exp_binary64_18190`
4×	`pow1_binary64_18212` `cbrt-undiv_binary64_18185`
2×	`1-exp_binary64_18195` `rec-exp_binary64_18201` `clear-num_binary64_18150` `frac-2neg_binary64_18162`
1×	`inv-pow_binary64_18236` `diff-log_binary64_18243` `pow-flip_binary64_18225` `cancel-sign-sub-inv_binary64_18117` `sub-neg_binary64_18144`

Counts

3 → 125

Calls

6 calls:

10.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
6.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
5.0ms	(-.f64 (.f64 x y) (.f64 z t))
0.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
0.0ms	(-.f64 (.f64 x y) (.f64 z t))

series649.0ms (7.4%)

Counts

3 → 72

Calls

3 calls:

295.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
206.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
148.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1414 to 1378 computations (2.5% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4985	3879
1	4985	3879

prune142.0ms (1.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	194	3	197
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	196	11	207

Error

8.6b

Counts

207 → 11

Compiler

Compiled 3435 to 756 computations (78% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.8b	(-.f64 (.f64 x y) (.f64 z t))
0.8b	(-.f64 (.f64 x y) (.f64 z t))
0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
0.2b	(/.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) a)
1.3b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) a))
9.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
9.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
9.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

rewrite52.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-div_binary64_18183`
25×	`add-sqr-sqrt_binary64_18173`
22×	`associate-r_binary64_18091`
20×	`*-un-lft-identity_binary64_18151` `times-frac_binary64_18157` `add-cube-cbrt_binary64_18186`
19×	`cbrt-prod_binary64_18182`
16×	`add-exp-log_binary64_18189` `frac-times_binary64_18161`
15×	`flip3--_binary64_18155` `flip--_binary64_18126`
12×	`associate-*l/_binary64_18094`
10×	`add-cbrt-cube_binary64_18187`
9×	`pow1_binary64_18212`
6×	`prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
5×	`associate-*r/_binary64_18093`
4×	`add-log-exp_binary64_18190`
3×	`unswap-sqr_binary64_18119` `pow-prod-down_binary64_18222` `pow1/3_binary64_18233`
2×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185`
1×	`div-inv_binary64_18148` `-commutative_binary64_18082` `associate-l*_binary64_18092`

Counts

4 → 100

Calls

8 calls:

23.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) a))
6.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
0.0ms	(/.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) a)

series1.5s (16.6%)

Counts

4 → 105

Calls

4 calls:

389.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) a))
365.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
356.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
353.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 6340 to 4456 computations (29.7% saved)

simplify125.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4958	6618
1	4958	6618

prune212.0ms (2.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	205	11	216

Error

8.6b

Counts

216 → 11

Compiler

Compiled 7370 to 1563 computations (78.8% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	234	863
1	234	863

regimes558.0ms (6.3%)

Compiler: Compiled 5710 to 4166 computations (27% saved)

bsearch0.0ms (0%)

regimes175.0ms (2%)

Compiler: Compiled 720 to 1017 computations (-41.3% saved)

bsearch0.0ms (0%)

regimes319.0ms (3.6%)

Compiler: Compiled 323 to 564 computations (-74.6% saved)

bsearch77.0ms (0.9%)

Steps

Iters	Range		Point
10	2.188427320940706e+54	7.331261742941645e+70	2.229508210258736e+54
8	6.472149666242987e+21	1.8076302279290845e+25	1.6121495039056051e+25
6	9.2003196101862e-64	1.4549259090543152e-62	6.84225569191814e-63
10	-1.0177037949233434e-59	-3.986718241068268e-73	-1.3836986392095962e-71

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes289.0ms (3.3%)

Compiler: Compiled 267 to 494 computations (-85% saved)

bsearch76.0ms (0.9%)

Steps

Iters	Range		Point
10	2.188427320940706e+54	7.331261742941645e+70	2.229508210258736e+54
8	6.472149666242987e+21	1.8076302279290845e+25	1.7859101474820312e+25
6	9.2003196101862e-64	1.4549259090543152e-62	8.354856988827411e-63
10	-1.0177037949233434e-59	-3.986718241068268e-73	-1.016741672280776e-70

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes258.0ms (2.9%)

Compiler: Compiled 169 to 368 computations (-117.8% saved)

bsearch77.0ms (0.9%)

Steps

Iters	Range		Point
10	2.188427320940706e+54	7.331261742941645e+70	2.229508210258736e+54
8	6.472149666242987e+21	1.8076302279290845e+25	1.7859101474820312e+25
6	9.2003196101862e-64	1.4549259090543152e-62	4.188131762273379e-63
10	-1.0177037949233434e-59	-3.986718241068268e-73	-2.8877901635419643e-66

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes239.0ms (2.7%)

Compiler: Compiled 120 to 305 computations (-154.2% saved)

bsearch79.0ms (0.9%)

Steps

Iters	Range		Point
10	2.188427320940706e+54	7.331261742941645e+70	2.229508210258736e+54
8	6.472149666242987e+21	1.8076302279290845e+25	1.7859101474820312e+25
6	9.2003196101862e-64	1.4549259090543152e-62	3.431831113818743e-63
10	-1.0177037949233434e-59	-3.986718241068268e-73	-2.01153258471387e-61

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes62.0ms (0.7%)

Compiler: Compiled 64 to 212 computations (-231.3% saved)

bsearch0.0ms (0%)

regimes45.0ms (0.5%)

Accuracy

Total 0.5b remaining (6.8%)

Threshold costs 0.5b (6.8%)

Compiler

Compiled 25 to 140 computations (-460% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 245 to 141 computations (42.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	140	316
1	140	316

end0.0ms (0%)

sample1.5s (16.6%)

Algorithm

1×

intervals

Results

273.0ms	8000×	body	128	valid
108.0ms	2947×	body	128	invalid

Compiler

Compiled 837 to 590 computations (29.5% saved)

Pareto

0.5275888563976902

Details

analyze880.0ms (10%)

sample27.0ms (0.3%)

simplify130.0ms (1.5%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite15.0ms (0.2%)

series448.0ms (5.1%)

simplify66.0ms (0.7%)

prune94.0ms (1.1%)

localize9.0ms (0.1%)

rewrite20.0ms (0.2%)

series452.0ms (5.1%)

simplify65.0ms (0.7%)

prune70.0ms (0.8%)

localize11.0ms (0.1%)

rewrite33.0ms (0.4%)

series649.0ms (7.4%)

simplify85.0ms (1%)

prune142.0ms (1.6%)

localize12.0ms (0.1%)

rewrite52.0ms (0.6%)

series1.5s (16.6%)

simplify125.0ms (1.4%)

prune212.0ms (2.4%)

simplify14.0ms (0.2%)

regimes558.0ms (6.3%)

bsearch0.0ms (0%)

regimes175.0ms (2%)

bsearch0.0ms (0%)

regimes319.0ms (3.6%)

bsearch77.0ms (0.9%)

regimes289.0ms (3.3%)

bsearch76.0ms (0.9%)

regimes258.0ms (2.9%)

bsearch77.0ms (0.9%)

regimes239.0ms (2.7%)

bsearch79.0ms (0.9%)

regimes62.0ms (0.7%)

bsearch0.0ms (0%)

regimes45.0ms (0.5%)

bsearch12.0ms (0.1%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample1.5s (16.6%)

Profiling