Details

analyze836.0ms (14.3%)

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
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)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	70×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify215.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

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: 2.9b

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

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_13861`
13×	`associate-r_binary64_13779`
12×	`*-un-lft-identity_binary64_13839`
10×	`times-frac_binary64_13845` `add-cube-cbrt_binary64_13874`
7×	`add-exp-log_binary64_13877` `add-cbrt-cube_binary64_13875`
5×	`associate-l_binary64_13780`
4×	`pow1_binary64_13900` `add-log-exp_binary64_13878`
2×	`flip--_binary64_13814` `unswap-sqr_binary64_13807` `cbrt-unprod_binary64_13872` `associate-*l/_binary64_13782` `frac-times_binary64_13849` `prod-exp_binary64_13888` `flip3--_binary64_13843`
1×	`div-exp_binary64_13890` `flip3-+_binary64_13842` `+-commutative_binary64_13769` `cbrt-undiv_binary64_13873` `flip-+_binary64_13813` `distribute-lft-out--_binary64_13791` `difference-of-squares_binary64_13808` `sum-log_binary64_13930` `-commutative_binary64_13770` `pow-prod-down_binary64_13910` `associate-r/_binary64_13781` `div-inv_binary64_13836`

Counts

2 → 49

Calls

2 calls:

12.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series184.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

107.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
77.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5329	832

prune216.0ms (3.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	42	13	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	14	56

Merged error: 0.0b

Counts

56 → 14

Compiler

Compiled 3949 to 2357 computations (40.3% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
3.0b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_13877`
14×	`add-sqr-sqrt_binary64_13861` `add-cbrt-cube_binary64_13875`
11×	`*-un-lft-identity_binary64_13839`
9×	`cbrt-prod_binary64_13870` `cbrt-unprod_binary64_13872` `add-cube-cbrt_binary64_13874` `prod-exp_binary64_13888`
6×	`pow1_binary64_13900`
5×	`associate-r_binary64_13779` `associate-l_binary64_13780`
4×	`div-exp_binary64_13890` `add-log-exp_binary64_13878` `cbrt-undiv_binary64_13873`
3×	`pow1/3_binary64_13921`
2×	`times-frac_binary64_13845` `flip--_binary64_13814` `unswap-sqr_binary64_13807` `associate-*l/_binary64_13782` `frac-times_binary64_13849` `flip3--_binary64_13843`
1×	`distribute-lft-out--_binary64_13791` `difference-of-squares_binary64_13808` `-commutative_binary64_13770` `pow-prod-down_binary64_13910` `associate-r/_binary64_13781` `div-inv_binary64_13836`

Counts

4 → 69

Calls

4 calls:

17.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series711.0ms (12.1%)

Counts

4 → 12

Calls

4 calls:

261.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
162.0ms	(cbrt.f64 z)
147.0ms	(cbrt.f64 z)
140.0ms	(cbrt.f64 z)

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5283	1103

prune88.0ms (1.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	81	14	95

Merged error: 0.0b

Counts

95 → 14

Compiler

Compiled 2345 to 693 computations (70.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y x))
0.6b	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
3.8b	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
4.8b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))

rewrite84.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`cbrt-div_binary64_13871`
88×	`frac-times_binary64_13849`
63×	`flip--_binary64_13814` `flip3--_binary64_13843`
52×	`add-sqr-sqrt_binary64_13861`
40×	`cbrt-prod_binary64_13870` `*-un-lft-identity_binary64_13839`
39×	`associate-*r/_binary64_13781`
32×	`associate-*l/_binary64_13782` `add-exp-log_binary64_13877`
25×	`pow1_binary64_13900`
22×	`associate-l_binary64_13780` `add-cube-cbrt_binary64_13874`
18×	`add-cbrt-cube_binary64_13875`
17×	`associate-r_binary64_13779`
16×	`cbrt-unprod_binary64_13872` `prod-exp_binary64_13888`
11×	`times-frac_binary64_13845` `pow-prod-down_binary64_13910`
10×	`swap-sqr_binary64_13806`
8×	`unswap-sqr_binary64_13807` `distribute-lft-out--_binary64_13791`
7×	`pow1/3_binary64_13921`
6×	`difference-of-squares_binary64_13808`
4×	`add-log-exp_binary64_13878`
3×	`div-exp_binary64_13890` `cbrt-undiv_binary64_13873` `*-commutative_binary64_13770`
2×	`pow-sqr_binary64_13812` `pow-prod-up_binary64_13909`
1×	`pow-plus_binary64_13902` `pow2_binary64_13920` `div-inv_binary64_13836`

Counts

4 → 193

Calls

4 calls:

23.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))
16.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
12.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
4.0ms	(cbrt.f64 (-.f64 y x))

series780.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

234.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
216.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
208.0ms	(cbrt.f64 (-.f64 y x))
121.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))

simplify115.0ms (2%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5018	5379

prune255.0ms (4.4%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	2	9	11
Picked	0	1	1
Done	0	2	2
Total	205	14	219

Merged error: 0.0b

Counts

219 → 14

Compiler

Compiled 6847 to 2019 computations (70.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y x))
0.6b	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
1.6b	(/.f64 (*.f64 (cbrt.f64 (-.f64 y x)) z) t)
4.8b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (*.f64 (cbrt.f64 (-.f64 y x)) z) t))

rewrite64.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`cbrt-div_binary64_13871`
36×	`add-sqr-sqrt_binary64_13861`
33×	`cbrt-prod_binary64_13870` `*-un-lft-identity_binary64_13839`
32×	`add-exp-log_binary64_13877`
21×	`add-cbrt-cube_binary64_13875`
20×	`flip--_binary64_13814` `frac-times_binary64_13849` `flip3--_binary64_13843`
17×	`add-cube-cbrt_binary64_13874`
16×	`pow1_binary64_13900` `associate-*l/_binary64_13782`
15×	`associate-r_binary64_13779`
13×	`cbrt-unprod_binary64_13872` `prod-exp_binary64_13888`
10×	`swap-sqr_binary64_13806`
9×	`associate-l_binary64_13780`
7×	`pow1/3_binary64_13921` `distribute-lft-out--_binary64_13791` `associate-*r/_binary64_13781`
6×	`div-exp_binary64_13890` `times-frac_binary64_13845` `cbrt-undiv_binary64_13873`
5×	`unswap-sqr_binary64_13807` `difference-of-squares_binary64_13808` `pow-prod-down_binary64_13910`
4×	`add-log-exp_binary64_13878`
3×	`associate-/r*_binary64_13783`
2×	`associate-/l/_binary64_13786` `pow-sqr_binary64_13812` `*-commutative_binary64_13770` `pow-prod-up_binary64_13909` `div-inv_binary64_13836`
1×	`associate-/l*_binary64_13784` `pow-plus_binary64_13902` `clear-num_binary64_13838` `pow2_binary64_13920` `frac-2neg_binary64_13850`

Counts

4 → 142

Calls

4 calls:

22.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (*.f64 (cbrt.f64 (-.f64 y x)) z) t))
13.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
8.0ms	(/.f64 (*.f64 (cbrt.f64 (-.f64 y x)) z) t)
4.0ms	(cbrt.f64 (-.f64 y x))

series926.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

343.0ms	(/.f64 (*.f64 (cbrt.f64 (-.f64 y x)) z) t)
242.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
210.0ms	(cbrt.f64 (-.f64 y x))
131.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (*.f64 (cbrt.f64 (-.f64 y x)) z) t))

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4959	2887
1	4959	2887

prune157.0ms (2.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	5	5	10
Picked	1	0	1
Done	1	2	3
Total	160	8	168

Merged error: 0b

Counts

168 → 8

Compiler

Compiled 4175 to 1174 computations (71.9% saved)

regimes117.0ms (2%)

Compiler: Compiled 819 to 639 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	28	37

end0.0ms (0%)

sample807.0ms (13.8%)

Algorithm

1×

intervals

Results

279.0ms	8000×	body	128	valid
76.0ms	2111×	body	128	invalid

Compiler

Compiled 202 to 135 computations (33.2% saved)

Details

analyze836.0ms (14.3%)

sample22.0ms (0.4%)

simplify215.0ms (3.7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite20.0ms (0.3%)

series184.0ms (3.1%)

simplify67.0ms (1.1%)

prune216.0ms (3.7%)

localize15.0ms (0.3%)

rewrite28.0ms (0.5%)

series711.0ms (12.1%)

simplify39.0ms (0.7%)

prune88.0ms (1.5%)

localize11.0ms (0.2%)

rewrite84.0ms (1.4%)

series780.0ms (13.3%)

simplify115.0ms (2%)

prune255.0ms (4.4%)

localize11.0ms (0.2%)

rewrite64.0ms (1.1%)

series926.0ms (15.8%)

simplify79.0ms (1.3%)

prune157.0ms (2.7%)

regimes117.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample807.0ms (13.8%)

Profiling