Details

analyze651.0ms (13.2%)

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	61×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify210.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	704	13
1	704	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

Merged error: 2.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.6b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_17959`
13×	`associate-r_binary64_17880`
12×	`*-un-lft-identity_binary64_17938`
10×	`add-cube-cbrt_binary64_17970` `times-frac_binary64_17944`
7×	`add-cbrt-cube_binary64_17971` `add-exp-log_binary64_17973`
5×	`associate-l_binary64_17881`
4×	`add-log-exp_binary64_17974` `pow1_binary64_17996`
2×	`prod-exp_binary64_17984` `flip3--_binary64_17942` `unswap-sqr_binary64_17906` `cbrt-unprod_binary64_17968` `frac-times_binary64_17948` `flip--_binary64_17913` `associate-*l/_binary64_17883`
1×	`associate-r/_binary64_17882` `-commutative_binary64_17871` `difference-of-squares_binary64_17907` `div-exp_binary64_17986` `flip3-+_binary64_17941` `pow-prod-down_binary64_18006` `distribute-lft-out--_binary64_17892` `div-inv_binary64_17935` `+-commutative_binary64_17870` `sum-log_binary64_18026` `cbrt-undiv_binary64_17969` `flip-+_binary64_17912`

Counts

2 → 49

Calls

2 calls:

11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series189.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

108.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
80.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5279	832

prune51.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

Compiler

Compiled 920 to 260 computations (71.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
4.7b	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64_17973`
22×	`associate-r_binary64_17880`
20×	`add-cube-cbrt_binary64_17970` `add-sqr-sqrt_binary64_17959` `*-un-lft-identity_binary64_17938`
18×	`times-frac_binary64_17944` `add-cbrt-cube_binary64_17971` `cbrt-prod_binary64_17966`
13×	`pow1_binary64_17996`
12×	`prod-exp_binary64_17984` `cbrt-unprod_binary64_17968`
6×	`pow-prod-down_binary64_18006` `associate-*l/_binary64_17883`
4×	`add-log-exp_binary64_17974`
3×	`pow1/3_binary64_18017` `div-exp_binary64_17986` `cbrt-undiv_binary64_17969`
2×	`flip3--_binary64_17942` `frac-times_binary64_17948` `flip--_binary64_17913`
1×	`associate-r/_binary64_17882` `associate-l_binary64_17881` `-commutative_binary64_17871` `div-inv_binary64_17935`

Counts

4 → 84

Calls

4 calls:

21.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series663.0ms (13.4%)

Counts

4 → 12

Calls

4 calls:

186.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
165.0ms	(cbrt.f64 z)
159.0ms	(cbrt.f64 z)
152.0ms	(cbrt.f64 z)

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4960	1116
1	4960	1116

prune78.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

Compiler

Compiled 1812 to 554 computations (69.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))
4.7b	(.f64 (.f64 (-.f64 y x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))) t))

rewrite44.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log_binary64_17973`
38×	`add-cbrt-cube_binary64_17971`
33×	`prod-exp_binary64_17984` `cbrt-unprod_binary64_17968`
27×	`cbrt-prod_binary64_17966`
13×	`pow1_binary64_17996`
12×	`add-cube-cbrt_binary64_17970` `add-sqr-sqrt_binary64_17959` `*-un-lft-identity_binary64_17938`
9×	`div-exp_binary64_17986` `cbrt-undiv_binary64_17969`
7×	`associate-r_binary64_17880`
6×	`pow-prod-down_binary64_18006` `associate-*l/_binary64_17883`
4×	`add-log-exp_binary64_17974`
3×	`pow1/3_binary64_18017` `times-frac_binary64_17944`
2×	`flip3--_binary64_17942` `frac-times_binary64_17948` `flip--_binary64_17913`
1×	`associate-r/_binary64_17882` `associate-l_binary64_17881` `-commutative_binary64_17871` `div-inv_binary64_17935`

Counts

4 → 90

Calls

4 calls:

25.0ms	(.f64 (.f64 (-.f64 y x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))) t))
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))

series826.0ms (16.7%)

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt.f64 (cbrt.f64 z))
204.0ms	(cbrt.f64 (cbrt.f64 z))
203.0ms	(cbrt.f64 (cbrt.f64 z))
201.0ms	(.f64 (.f64 (-.f64 y x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))) t))

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4966	1173
1	4966	1173

prune94.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

Compiler

Compiled 2326 to 537 computations (76.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
5.1b	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64_17959`
30×	`times-frac_binary64_17944`
25×	`add-exp-log_binary64_17973`
24×	`*-un-lft-identity_binary64_17938`
22×	`add-cube-cbrt_binary64_17970` `associate-r_binary64_17880`
20×	`cbrt-prod_binary64_17966`
18×	`add-cbrt-cube_binary64_17971`
9×	`associate-l_binary64_17881`
8×	`prod-exp_binary64_17984` `cbrt-unprod_binary64_17968`
7×	`div-exp_binary64_17986` `cbrt-undiv_binary64_17969`
6×	`unswap-sqr_binary64_17906` `pow1_binary64_17996`
4×	`add-log-exp_binary64_17974`
3×	`pow1/3_binary64_18017`
2×	`div-inv_binary64_17935`
1×	`associate-r/_binary64_17882` `-commutative_binary64_17871` `difference-of-squares_binary64_17907` `pow-prod-down_binary64_18006` `distribute-lft-out--_binary64_17892` `frac-times_binary64_17948` `associate-*l/_binary64_17883`

Counts

4 → 94

Calls

4 calls:

20.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series685.0ms (13.9%)

Counts

4 → 12

Calls

4 calls:

223.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
162.0ms	(cbrt.f64 t)
151.0ms	(cbrt.f64 t)
148.0ms	(cbrt.f64 t)

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5047	1462

prune84.0ms (1.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	106	8	114

Merged error: 0.0b

Counts

114 → 8

Compiler

Compiled 2014 to 577 computations (71.4% saved)

regimes128.0ms (2.6%)

Compiler: Compiled 770 to 580 computations (24.7% saved)

bsearch38.0ms (0.8%)

Steps

Iters	Range		Point
10	1.2072790438936026e+37	9.836384011943394e+48	1.0129328979569257e+39
5	-7.608958995770581e+59	-2.5459595637674383e+59	-6.8942606387052335e+59

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	55
1	42	55

end0.0ms (0%)

sample794.0ms (16.1%)

Algorithm

1×

intervals

Results

279.0ms	8000×	body	128	valid
66.0ms	2018×	body	128	invalid

Compiler

Compiled 216 to 142 computations (34.3% saved)

Details

analyze651.0ms (13.2%)

sample21.0ms (0.4%)

simplify210.0ms (4.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite19.0ms (0.4%)

series189.0ms (3.8%)

simplify61.0ms (1.2%)

prune51.0ms (1%)

localize11.0ms (0.2%)

rewrite33.0ms (0.7%)

series663.0ms (13.4%)

simplify59.0ms (1.2%)

prune78.0ms (1.6%)

localize16.0ms (0.3%)

rewrite44.0ms (0.9%)

series826.0ms (16.7%)

simplify64.0ms (1.3%)

prune94.0ms (1.9%)

localize11.0ms (0.2%)

rewrite33.0ms (0.7%)

series685.0ms (13.9%)

simplify61.0ms (1.2%)

prune84.0ms (1.7%)

regimes128.0ms (2.6%)

bsearch38.0ms (0.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample794.0ms (16.1%)

Profiling