Details

analyze792.0ms (14.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4849	91
1	4849	91
0	4	4
1	4	4

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	54×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	734	13
1	734	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

6.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
6.8b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite69.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
10×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
7×	`add-cube-cbrt_binary64_11707`
5×	`pow1_binary64_11733` `add-log-exp_binary64_11711` `associate-l_binary64_11613`
4×	`associate-*l/_binary64_11615`
3×	`times-frac_binary64_11678` `associate-/r_binary64_11616` `associate-r*_binary64_11612`
2×	`prod-exp_binary64_11721` `div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `cbrt-unprod_binary64_11705` `flip3--_binary64_11676` `associate-/l/_binary64_11619` `flip--_binary64_11647`
1×	`frac-2neg_binary64_11683` `clear-num_binary64_11671` `div-inv_binary64_11669` `associate-/l_binary64_11617` `sum-log_binary64_11763` `flip3-+_binary64_11675` `flip-+_binary64_11646` `distribute-lft-out_binary64_11623` `+-commutative_binary64_11602` `pow-prod-down_binary64_11743` `unswap-sqr_binary64_11640` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624` `-commutative_binary64_11603`

Counts

3 → 57

Calls

3 calls:

7.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
6.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

Compiler

Compiled 925 to 251 computations (72.9% saved)

series583.0ms (10.9%)

Error

0.1b

Counts

3 → 57

Calls

3 calls:

275.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
191.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
85.0ms	(*.f64 (-.f64 y x) z)

Compiler

Compiled 1493 to 861 computations (42.3% saved)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5127	1245

prune78.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	7	115

Error

Counts

115 → 7

Compiler

Compiled 1368 to 314 computations (77% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
6.1b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite121.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`times-frac_binary64_11678`
88×	`*-un-lft-identity_binary64_11672`
86×	`add-sqr-sqrt_binary64_11694`
58×	`add-cube-cbrt_binary64_11707`
14×	`difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624`
13×	`associate-/r*_binary64_11616`
7×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708` `div-inv_binary64_11669`
5×	`associate-/l*_binary64_11617`
4×	`add-log-exp_binary64_11711`
3×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706`
2×	`pow1_binary64_11733` `div-sub_binary64_11677` `associate-/l/_binary64_11619`
1×	`frac-2neg_binary64_11683` `clear-num_binary64_11671` `flip3--_binary64_11676` `flip--_binary64_11647` `associate-/r/_binary64_11618` `sum-log_binary64_11763` `flip3-+_binary64_11675` `flip-+_binary64_11646` `distribute-lft-out_binary64_11623` `associate-+r-_binary64_11606` `+-commutative_binary64_11602`

Counts

2 → 114

Calls

2 calls:

20.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
10.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

Compiler

Compiled 2282 to 559 computations (75.5% saved)

series504.0ms (9.4%)

Error

Counts

2 → 42

Calls

2 calls:

286.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
200.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5116	2932

prune98.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	157	6	163

Error

Counts

163 → 6

Compiler

Compiled 2471 to 465 computations (81.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.1b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite49.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_11694`
13×	`associate-r_binary64_11612`
12×	`*-un-lft-identity_binary64_11672`
10×	`add-cube-cbrt_binary64_11707` `times-frac_binary64_11678`
7×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
5×	`associate-l_binary64_11613`
4×	`pow1_binary64_11733` `add-log-exp_binary64_11711`
2×	`prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `flip3--_binary64_11676` `frac-times_binary64_11682` `flip--_binary64_11647` `unswap-sqr_binary64_11640` `associate-*l/_binary64_11615`
1×	`pow-prod-down_binary64_11743` `div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `associate-r/_binary64_11614` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624` `div-inv_binary64_11669` `-commutative_binary64_11603` `sum-log_binary64_11763` `flip3-+_binary64_11675` `flip-+_binary64_11646` `+-commutative_binary64_11602`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Compiler

Compiled 861 to 228 computations (73.5% saved)

series469.0ms (8.8%)

Error

Counts

2 → 42

Calls

2 calls:

264.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
187.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5762	1171

prune48.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	91	6	97

Error

Counts

97 → 6

Compiler

Compiled 1146 to 247 computations (78.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
3.3b	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

rewrite99.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`add-sqr-sqrt_binary64_11694`
30×	`times-frac_binary64_11678`
25×	`add-exp-log_binary64_11710`
24×	`*-un-lft-identity_binary64_11672`
22×	`add-cube-cbrt_binary64_11707` `associate-r_binary64_11612`
20×	`cbrt-prod_binary64_11703`
18×	`add-cbrt-cube_binary64_11708`
9×	`associate-l_binary64_11613`
8×	`prod-exp_binary64_11721` `cbrt-unprod_binary64_11705`
7×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706`
6×	`pow1_binary64_11733` `unswap-sqr_binary64_11640`
4×	`add-log-exp_binary64_11711`
3×	`pow1/3_binary64_11754`
2×	`div-inv_binary64_11669`
1×	`pow-prod-down_binary64_11743` `frac-times_binary64_11682` `associate-l/_binary64_11615` `associate-r/_binary64_11614` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624` `*-commutative_binary64_11603`

Counts

4 → 94

Calls

4 calls:

19.0ms	(.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)

Compiler

Compiled 2267 to 452 computations (80.1% saved)

series467.0ms (8.7%)

Error

Counts

4 → 27

Calls

4 calls:

232.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
78.0ms	(cbrt.f64 t)
72.0ms	(cbrt.f64 t)
71.0ms	(cbrt.f64 t)

Compiler

Compiled 1029 to 652 computations (36.6% saved)

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4977	1585
1	4977	1585

prune83.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	121	6	127

Error

Counts

127 → 6

Compiler

Compiled 2127 to 548 computations (74.2% saved)

regimes285.0ms (5.3%)

Accuracy

Total 4.3b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 2376 to 1768 computations (25.6% saved)

bsearch20.0ms (0.4%)

Steps

Iters	Range		Point
8	-2.45855012331156e-52	-5.614761406664663e-56	-6.8672134430398595e-56

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	32	32
1	32	32

end0.0ms (0%)

sample1.2s (22.2%)

Algorithm

1×

intervals

Results

278.0ms	8000×	body	128	valid
63.0ms	2021×	body	128	invalid

Compiler

Compiled 537 to 392 computations (27% saved)

Details

analyze792.0ms (14.8%)

sample23.0ms (0.4%)

simplify58.0ms (1.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite69.0ms (1.3%)

series583.0ms (10.9%)

simplify61.0ms (1.1%)

prune78.0ms (1.5%)

localize6.0ms (0.1%)

rewrite121.0ms (2.3%)

series504.0ms (9.4%)

simplify77.0ms (1.4%)

prune98.0ms (1.8%)

localize7.0ms (0.1%)

rewrite49.0ms (0.9%)

series469.0ms (8.8%)

simplify77.0ms (1.4%)

prune48.0ms (0.9%)

localize14.0ms (0.3%)

rewrite99.0ms (1.9%)

series467.0ms (8.7%)

simplify65.0ms (1.2%)

prune83.0ms (1.6%)

regimes285.0ms (5.3%)

bsearch20.0ms (0.4%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (22.2%)

Profiling