Details

analyze825.0ms (16.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1124	70
1	1124	70
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
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	60×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify29.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	438	10
1	438	10

prune4.0ms (0.1%)

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

0.1b

Counts

2 → 2

Compiler

Compiled 23 to 22 computations (4.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.8b	(-.f64 (.f64 x y) (.f64 z y))
6.6b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_17150`
4×	`add-cube-cbrt_binary64_17163` `add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166` `pow1_binary64_17189` `add-log-exp_binary64_17167` `-un-lft-identity_binary64_17128` `associate-l*_binary64_17069`
3×	`associate-r_binary64_17068`
2×	`distribute-rgt-out--_binary64_17082` `associate-*l/_binary64_17071` `flip--_binary64_17103` `flip3--_binary64_17132`
1×	`diff-log_binary64_17220` `cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `unswap-sqr_binary64_17096` `sub-neg_binary64_17121` `*-commutative_binary64_17059` `pow-prod-down_binary64_17199` `cancel-sign-sub-inv_binary64_17094`

Counts

2 → 34

Calls

2 calls:

6.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
4.0ms	(-.f64 (.f64 x y) (.f64 z y))

series95.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
30.0ms	(-.f64 (.f64 x y) (.f64 z y))

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5120	477

prune42.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	33	7	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	9	42

Error

0.0b

Counts

42 → 9

Compiler

Compiled 633 to 202 computations (68.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 t)
0.7b	(cbrt.f64 t)
1.3b	(.f64 (.f64 y (.f64 (-.f64 x z) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
5.0b	(.f64 y (.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_17166` `pow1_binary64_17189`
19×	`add-cbrt-cube_binary64_17164`
16×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `pow-prod-down_binary64_17199`
9×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128` `cbrt-prod_binary64_17159`
7×	`associate-r_binary64_17068`
6×	`associate-*l/_binary64_17071`
4×	`associate-r/_binary64_17070` `add-log-exp_binary64_17167` `associate-l*_binary64_17069`
2×	`pow1/3_binary64_17210` `flip--_binary64_17103` `*-commutative_binary64_17059` `flip3--_binary64_17132`

Counts

4 → 74

Calls

4 calls:

15.0ms	(.f64 (.f64 y (.f64 (-.f64 x z) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
13.0ms	(.f64 y (.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series458.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

184.0ms	(.f64 y (.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
106.0ms	(.f64 (.f64 y (.f64 (-.f64 x z) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
89.0ms	(cbrt.f64 t)
80.0ms	(cbrt.f64 t)

simplify103.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5079	966

prune76.0ms (1.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	79	7	86
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	81	14	95

Error

0.0b

Counts

95 → 14

Compiler

Compiled 1509 to 541 computations (64.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 t)
0.7b	(cbrt.f64 t)
1.3b	(.f64 (.f64 y (.f64 (-.f64 x z) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t))))
5.0b	(.f64 y (.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite58.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-exp-log_binary64_17166` `pow1_binary64_17189`
48×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `pow-prod-down_binary64_17199`
43×	`add-cbrt-cube_binary64_17164`
7×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
6×	`associate-*l/_binary64_17071` `cbrt-prod_binary64_17159`
4×	`associate-r/_binary64_17070` `add-log-exp_binary64_17167` `associate-l*_binary64_17069`
2×	`pow1/3_binary64_17210` `associate-r_binary64_17068` `flip--_binary64_17103` `*-commutative_binary64_17059` `flip3--_binary64_17132`

Counts

4 → 93

Calls

4 calls:

32.0ms	(.f64 (.f64 y (.f64 (-.f64 x z) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t))))
12.0ms	(.f64 y (.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series465.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

183.0ms	(.f64 y (.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
111.0ms	(.f64 (.f64 y (.f64 (-.f64 x z) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t))))
89.0ms	(cbrt.f64 t)
81.0ms	(cbrt.f64 t)

simplify93.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5063	1133

prune90.0ms (1.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	105	14	119

Error

0.0b

Counts

119 → 14

Compiler

Compiled 2133 to 563 computations (73.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.6b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (.f64 y (-.f64 x z)))) t)
8.4b	(cbrt.f64 (*.f64 y (-.f64 x z)))
8.4b	(cbrt.f64 (*.f64 y (-.f64 x z)))
8.4b	(cbrt.f64 (*.f64 y (-.f64 x z)))

rewrite42.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`associate-*r/_binary64_17070`
60×	`cbrt-div_binary64_17160`
40×	`associate-*l/_binary64_17071`
30×	`flip--_binary64_17103` `flip3--_binary64_17132`
28×	`frac-times_binary64_17138`
13×	`add-exp-log_binary64_17166` `pow1_binary64_17189`
9×	`add-cbrt-cube_binary64_17164`
6×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `pow-prod-down_binary64_17199`
5×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
4×	`add-log-exp_binary64_17167`
3×	`pow1/3_binary64_17210` `associate-r_binary64_17068` `cbrt-prod_binary64_17159`
1×	`-commutative_binary64_17059` `associate-l*_binary64_17069`

Counts

4 → 80

Calls

4 calls:

16.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (.f64 y (-.f64 x z)))) t)
5.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))

series577.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
152.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
150.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
111.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (-.f64 x z))) (cbrt.f64 (.f64 y (-.f64 x z)))) (cbrt.f64 (.f64 y (-.f64 x z)))) t)

simplify144.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4938	1880
1	4938	1880

prune81.0ms (1.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	92	14	106

Error

0.0b

Counts

106 → 14

Compiler

Compiled 2593 to 525 computations (79.8% saved)

regimes477.0ms (9.7%)

Accuracy

Total 1.5b remaining (98.6%)

Threshold costs 0b (0%)

Compiler

Compiled 3188 to 2212 computations (30.6% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	52
1	57	52

Compiler

Compiled 70 to 38 computations (45.7% saved)

end0.0ms (0%)

sample1.1s (22.2%)

Algorithm

1×

intervals

Results

249.0ms	8000×	body	128	valid
63.0ms	1908×	body	128	invalid

Compiler

Compiled 590 to 398 computations (32.5% saved)

Details

analyze825.0ms (16.7%)

sample21.0ms (0.4%)

simplify29.0ms (0.6%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite12.0ms (0.3%)

series95.0ms (1.9%)

simplify66.0ms (1.3%)

prune42.0ms (0.8%)

localize10.0ms (0.2%)

rewrite36.0ms (0.7%)

series458.0ms (9.3%)

simplify103.0ms (2.1%)

prune76.0ms (1.5%)

localize14.0ms (0.3%)

rewrite58.0ms (1.2%)

series465.0ms (9.4%)

simplify93.0ms (1.9%)

prune90.0ms (1.8%)

localize11.0ms (0.2%)

rewrite42.0ms (0.8%)

series577.0ms (11.7%)

simplify144.0ms (2.9%)

prune81.0ms (1.6%)

regimes477.0ms (9.7%)

bsearch2.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.1s (22.2%)

Profiling