Details

analyze656.0ms (11.1%)

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

8.0ms	256×	body	128	valid
2.0ms	70×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify216.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

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))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_14926`
13×	`associate-r_binary64_14847`
12×	`*-un-lft-identity_binary64_14905`
10×	`add-cube-cbrt_binary64_14937` `times-frac_binary64_14911`
7×	`add-cbrt-cube_binary64_14938` `add-exp-log_binary64_14940`
5×	`associate-l_binary64_14848`
4×	`pow1_binary64_14963` `add-log-exp_binary64_14941`
2×	`cbrt-unprod_binary64_14935` `frac-times_binary64_14915` `flip3--_binary64_14909` `prod-exp_binary64_14951` `unswap-sqr_binary64_14873` `flip--_binary64_14880` `associate-*l/_binary64_14850`
1×	`flip-+_binary64_14879` `sum-log_binary64_14993` `pow-prod-down_binary64_14973` `cbrt-undiv_binary64_14936` `flip3-+_binary64_14908` `distribute-lft-out--_binary64_14859` `div-inv_binary64_14902` `associate-r/_binary64_14849` `div-exp_binary64_14953` `difference-of-squares_binary64_14874` `+-commutative_binary64_14837` `-commutative_binary64_14838`

Counts

2 → 49

Calls

2 calls:

13.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
5.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series190.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

107.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
83.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5279	832

prune63.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	43	12	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	13	56

Merged error: 0.0b

Counts

56 → 13

Compiler

Compiled 1047 to 342 computations (67.3% saved)

localize10.0ms (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_14934`
88×	`frac-times_binary64_14915`
63×	`flip3--_binary64_14909` `flip--_binary64_14880`
52×	`add-sqr-sqrt_binary64_14926`
40×	`cbrt-prod_binary64_14933` `*-un-lft-identity_binary64_14905`
39×	`associate-*r/_binary64_14849`
32×	`add-exp-log_binary64_14940` `associate-*l/_binary64_14850`
25×	`pow1_binary64_14963`
22×	`add-cube-cbrt_binary64_14937` `associate-l_binary64_14848`
18×	`add-cbrt-cube_binary64_14938`
17×	`associate-r_binary64_14847`
16×	`cbrt-unprod_binary64_14935` `prod-exp_binary64_14951`
11×	`pow-prod-down_binary64_14973` `times-frac_binary64_14911`
10×	`swap-sqr_binary64_14872`
8×	`distribute-lft-out--_binary64_14859` `unswap-sqr_binary64_14873`
7×	`pow1/3_binary64_14984`
6×	`difference-of-squares_binary64_14874`
4×	`add-log-exp_binary64_14941`
3×	`cbrt-undiv_binary64_14936` `div-exp_binary64_14953` `*-commutative_binary64_14838`
2×	`pow-sqr_binary64_14878` `pow-prod-up_binary64_14972`
1×	`pow-plus_binary64_14965` `div-inv_binary64_14902` `pow2_binary64_14983`

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))))
12.0ms	(*.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))

series788.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
222.0ms	(cbrt.f64 (-.f64 y x))
209.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
117.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))

simplify99.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5372	5329

prune208.0ms (3.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	205	13	218

Merged error: 0.0b

Counts

218 → 13

Compiler

Compiled 6022 to 1452 computations (75.9% saved)

localize13.0ms (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))

rewrite62.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`cbrt-div_binary64_14934`
36×	`add-sqr-sqrt_binary64_14926`
33×	`cbrt-prod_binary64_14933` `*-un-lft-identity_binary64_14905`
32×	`add-exp-log_binary64_14940`
21×	`add-cbrt-cube_binary64_14938`
20×	`frac-times_binary64_14915` `flip3--_binary64_14909` `flip--_binary64_14880`
17×	`add-cube-cbrt_binary64_14937`
16×	`pow1_binary64_14963` `associate-*l/_binary64_14850`
15×	`associate-r_binary64_14847`
13×	`cbrt-unprod_binary64_14935` `prod-exp_binary64_14951`
10×	`swap-sqr_binary64_14872`
9×	`associate-l_binary64_14848`
7×	`pow1/3_binary64_14984` `distribute-lft-out--_binary64_14859` `associate-*r/_binary64_14849`
6×	`cbrt-undiv_binary64_14936` `div-exp_binary64_14953` `times-frac_binary64_14911`
5×	`pow-prod-down_binary64_14973` `unswap-sqr_binary64_14873` `difference-of-squares_binary64_14874`
4×	`add-log-exp_binary64_14941`
3×	`associate-/r*_binary64_14851`
2×	`pow-sqr_binary64_14878` `associate-/l/_binary64_14854` `div-inv_binary64_14902` `*-commutative_binary64_14838` `pow-prod-up_binary64_14972`
1×	`frac-2neg_binary64_14916` `pow-plus_binary64_14965` `associate-/l*_binary64_14852` `clear-num_binary64_14904` `pow2_binary64_14983`

Counts

4 → 142

Calls

4 calls:

21.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (*.f64 (cbrt.f64 (-.f64 y x)) z) t))
12.0ms	(*.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))

series930.0ms (15.7%)

Counts

4 → 12

Calls

4 calls:

347.0ms	(/.f64 (*.f64 (cbrt.f64 (-.f64 y x)) z) t)
243.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
212.0ms	(cbrt.f64 (-.f64 y x))
128.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (*.f64 (cbrt.f64 (-.f64 y x)) z) t))

simplify93.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4977	2879
1	4977	2879

prune147.0ms (2.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	4	6	10
Picked	1	0	1
Done	0	2	2
Total	158	9	167

Merged error: 0b

Counts

167 → 9

Compiler

Compiled 3885 to 960 computations (75.3% saved)

localize13.0ms (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)
4.9b	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64_14926`
30×	`times-frac_binary64_14911`
25×	`add-exp-log_binary64_14940`
24×	`*-un-lft-identity_binary64_14905`
22×	`associate-r_binary64_14847` `add-cube-cbrt_binary64_14937`
20×	`cbrt-prod_binary64_14933`
18×	`add-cbrt-cube_binary64_14938`
9×	`associate-l_binary64_14848`
8×	`cbrt-unprod_binary64_14935` `prod-exp_binary64_14951`
7×	`cbrt-undiv_binary64_14936` `div-exp_binary64_14953`
6×	`pow1_binary64_14963` `unswap-sqr_binary64_14873`
4×	`add-log-exp_binary64_14941`
3×	`pow1/3_binary64_14984`
2×	`div-inv_binary64_14902`
1×	`pow-prod-down_binary64_14973` `frac-times_binary64_14915` `distribute-lft-out--_binary64_14859` `associate-r/_binary64_14849` `difference-of-squares_binary64_14874` `associate-l/_binary64_14850` `*-commutative_binary64_14838`

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)

series675.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

221.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
156.0ms	(cbrt.f64 t)
152.0ms	(cbrt.f64 t)
145.0ms	(cbrt.f64 t)

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5047	1462

prune82.0ms (1.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	106	9	115

Merged error: 0b

Counts

115 → 9

Compiler

Compiled 2014 to 577 computations (71.4% saved)

regimes296.0ms (5%)

Compiler: Compiled 2989 to 2017 computations (32.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	28	37

end0.0ms (0%)

sample1.1s (18.3%)

Algorithm

1×

intervals

Results

268.0ms	8000×	body	128	valid
70.0ms	2111×	body	128	invalid

Compiler

Compiled 529 to 344 computations (35% saved)

Details

analyze656.0ms (11.1%)

sample22.0ms (0.4%)

simplify216.0ms (3.7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite22.0ms (0.4%)

series190.0ms (3.2%)

simplify63.0ms (1.1%)

prune63.0ms (1.1%)

localize10.0ms (0.2%)

rewrite84.0ms (1.4%)

series788.0ms (13.3%)

simplify99.0ms (1.7%)

prune208.0ms (3.5%)

localize13.0ms (0.2%)

rewrite62.0ms (1%)

series930.0ms (15.7%)

simplify93.0ms (1.6%)

prune147.0ms (2.5%)

localize13.0ms (0.2%)

rewrite32.0ms (0.5%)

series675.0ms (11.4%)

simplify59.0ms (1%)

prune82.0ms (1.4%)

regimes296.0ms (5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (18.3%)

Profiling