Details

analyze403.0ms (8.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify19.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-sqr-sqrt_binary64_6920`
6×	`*-un-lft-identity_binary64_6898`
5×	`associate-l_binary64_6839`
4×	`pow1_binary64_6959` `add-exp-log_binary64_6936` `add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934` `add-cube-cbrt_binary64_6933`
3×	`associate-r_binary64_6838`
2×	`associate-*l/_binary64_6841`
1×	`pow-prod-down_binary64_6969` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `unswap-sqr_binary64_6866` `flip3--_binary64_6902` `flip--_binary64_6873` `difference-of-squares_binary64_6867` `distribute-lft-out--_binary64_6850` `*-commutative_binary64_6829` `sum-log_binary64_6989` `flip3-+_binary64_6901` `flip-+_binary64_6872` `+-commutative_binary64_6828`

Counts

2 → 33

Calls

2 calls:

7.0ms	(*.f64 (-.f64 y x) z)
3.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

Compiler

Compiled 470 to 134 computations (71.5% saved)

series238.0ms (5%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

127.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
95.0ms	(*.f64 (-.f64 y x) z)

Compiler

Compiled 618 to 362 computations (41.4% saved)

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5343	634

prune43.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Error

0.0b

Counts

67 → 6

Compiler

Compiled 719 to 180 computations (75% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))

rewrite116.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`cbrt-prod_binary64_6929`
37×	`add-sqr-sqrt_binary64_6920`
35×	`*-un-lft-identity_binary64_6898`
18×	`cbrt-div_binary64_6930`
15×	`add-cube-cbrt_binary64_6933`
11×	`pow1_binary64_6959`
10×	`swap-sqr_binary64_6865`
9×	`pow1/3_binary64_6980` `flip3--_binary64_6902` `flip--_binary64_6873` `distribute-lft-out--_binary64_6850`
8×	`associate-l_binary64_6839` `associate-r_binary64_6838`
7×	`difference-of-squares_binary64_6867`
6×	`add-exp-log_binary64_6936`
4×	`add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934` `frac-times_binary64_6908` `unswap-sqr_binary64_6866`
2×	`pow-prod-down_binary64_6969` `pow-prod-up_binary64_6968` `pow-sqr_binary64_6871` `associate-l/_binary64_6841` `associate-r/_binary64_6840`
1×	`pow2_binary64_6979` `pow-plus_binary64_6961` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `*-commutative_binary64_6829`

Counts

4 → 101

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 2624 to 520 computations (80.2% saved)

series431.0ms (9.1%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

175.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
74.0ms	(cbrt.f64 (-.f64 y x))
71.0ms	(cbrt.f64 (-.f64 y x))
70.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 2733 to 1885 computations (31% saved)

simplify89.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4965	1960
1	4965	1960

prune119.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	140	6	146

Error

0.0b

Counts

146 → 6

Compiler

Compiled 3251 to 826 computations (74.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (-.f64 y x))) (cbrt.f64 (*.f64 z (-.f64 y x))))
2.2b	(cbrt.f64 (*.f64 z (-.f64 y x)))
2.2b	(cbrt.f64 (*.f64 z (-.f64 y x)))
2.2b	(cbrt.f64 (*.f64 z (-.f64 y x)))

rewrite93.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`associate-*r/_binary64_6840`
18×	`cbrt-div_binary64_6930`
11×	`pow1_binary64_6959`
10×	`add-sqr-sqrt_binary64_6920`
9×	`pow1/3_binary64_6980` `flip3--_binary64_6902` `flip--_binary64_6873`
8×	`add-cube-cbrt_binary64_6933` `*-un-lft-identity_binary64_6898`
7×	`cbrt-prod_binary64_6929`
6×	`add-exp-log_binary64_6936`
4×	`add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934` `frac-times_binary64_6908` `swap-sqr_binary64_6865` `associate-l_binary64_6839` `associate-r_binary64_6838`
2×	`pow-prod-down_binary64_6969` `pow-prod-up_binary64_6968` `pow-sqr_binary64_6871` `associate-*l/_binary64_6841`
1×	`pow2_binary64_6979` `pow-plus_binary64_6961` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `unswap-sqr_binary64_6866` `*-commutative_binary64_6829`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 z (-.f64 y x))) (cbrt.f64 (*.f64 z (-.f64 y x))))
5.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
5.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
5.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))

Compiler

Compiled 2171 to 373 computations (82.8% saved)

series1.2s (25.5%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

322.0ms	(.f64 (cbrt.f64 (.f64 z (-.f64 y x))) (cbrt.f64 (*.f64 z (-.f64 y x))))
275.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
266.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
262.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))

Compiler

Compiled 6172 to 4000 computations (35.2% saved)

simplify86.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4978	2628
1	4978	2628

prune134.0ms (2.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	134	7	141

Error

Counts

141 → 7

Compiler

Compiled 3863 to 1101 computations (71.5% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))

rewrite82.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`cbrt-prod_binary64_6929`
16×	`add-sqr-sqrt_binary64_6920` `*-un-lft-identity_binary64_6898`
8×	`add-cube-cbrt_binary64_6933` `cbrt-div_binary64_6930`
4×	`pow1/3_binary64_6980` `pow1_binary64_6959` `add-log-exp_binary64_6937` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934` `flip3--_binary64_6902` `flip--_binary64_6873` `difference-of-squares_binary64_6867` `distribute-lft-out--_binary64_6850`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 2020 to 527 computations (73.9% saved)

series315.0ms (6.7%)

Error

Counts

4 → 30

Calls

4 calls:

75.0ms	(cbrt.f64 (-.f64 y x))
74.0ms	(cbrt.f64 (-.f64 y x))
72.0ms	(cbrt.f64 (-.f64 y x))
61.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 2924 to 1765 computations (39.6% saved)

simplify90.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4912	968
1	4912	968

prune90.0ms (1.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	90	7	97

Error

Counts

97 → 7

Compiler

Compiled 2804 to 768 computations (72.6% saved)

regimes177.0ms (3.8%)

Accuracy

Total 0.0b remaining (87.4%)

Threshold costs 0.0b (87.4%)

Compiler

Compiled 1784 to 1022 computations (42.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample858.0ms (18.1%)

Algorithm

1×

intervals

Results

202.0ms	8000×	body	128	valid
14.0ms	596×	body	128	invalid

Compiler

Compiled 456 to 264 computations (42.1% saved)

Details

analyze403.0ms (8.5%)

sample17.0ms (0.4%)

simplify19.0ms (0.4%)

prune2.0ms (0%)

localize7.0ms (0.2%)

rewrite33.0ms (0.7%)

series238.0ms (5%)

simplify39.0ms (0.8%)

prune43.0ms (0.9%)

localize9.0ms (0.2%)

rewrite116.0ms (2.5%)

series431.0ms (9.1%)

simplify89.0ms (1.9%)

prune119.0ms (2.5%)

localize9.0ms (0.2%)

rewrite93.0ms (2%)

series1.2s (25.5%)

simplify86.0ms (1.8%)

prune134.0ms (2.8%)

localize17.0ms (0.4%)

rewrite82.0ms (1.7%)

series315.0ms (6.7%)

simplify90.0ms (1.9%)

prune90.0ms (1.9%)

regimes177.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample858.0ms (18.1%)

Profiling