Details

analyze261.0ms (5.4%)

Algorithm

1×

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
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample15.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	212	10
1	212	10

prune3.0ms (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

Merged error: 2.9b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 y z))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `associate-r_binary64` `associate-l_binary64` `cancel-sign-sub-inv_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
3.0ms	(-.f64 1 (*.f64 y z))

series149.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

107.0ms	(.f64 x (-.f64 1 (.f64 y z)))
43.0ms	(-.f64 1 (*.f64 y z))

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4843	485
1	4843	485

prune124.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	8	43

Merged error: 2.7b

Counts

43 → 8

Compiler

Compiled 1987 to 1360 computations (31.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.7b	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
2.9b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.9b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.9b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite44.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
34×	`associate-*r/_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
14×	`associate-*l/_binary64`
13×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 86

Calls

4 calls:

23.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series987.0ms (20.3%)

Counts

4 → 12

Calls

4 calls:

293.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
291.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
288.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
115.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z)))))

simplify77.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4921	2163
1	4921	2163

prune187.0ms (3.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	96	10	106

Merged error: 2.7b

Counts

106 → 10

Compiler

Compiled 3991 to 2299 computations (42.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.9b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.9b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.9b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.9b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series1.2s (23.7%)

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
294.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
288.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
276.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4918	1200
1	4918	1200

prune136.0ms (2.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	64	10	74

Merged error: 2.7b

Counts

74 → 10

Compiler

Compiled 3151 to 1875 computations (40.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))
2.7b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
8×	`associate-*r/_binary64`
6×	`sub-neg_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 83

Calls

4 calls:

7.0ms	(.f64 x (-.f64 1 (.f64 y z)))
7.0ms	(.f64 x (-.f64 1 (.f64 y z)))
7.0ms	(.f64 x (-.f64 1 (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))

series506.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
92.0ms	(.f64 x (-.f64 1 (.f64 y z)))
89.0ms	(.f64 x (-.f64 1 (.f64 y z)))
88.0ms	(.f64 x (-.f64 1 (.f64 y z)))

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5244	1154

prune163.0ms (3.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	6	6
Picked	1	0	1
Done	0	3	3
Total	95	10	105

Merged error: 2.7b

Counts

105 → 10

Compiler

Compiled 3564 to 2025 computations (43.2% saved)

regimes130.0ms (2.7%)

Compiler: Compiled 1212 to 904 computations (25.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms (0%)

sample618.0ms (12.7%)

Algorithm

1×

intervals

Results

217.0ms	8000×	body	128	valid
15.0ms	560×	body	128	invalid

Compiler

Compiled 211 to 160 computations (24.2% saved)

Details

analyze261.0ms (5.4%)

sample15.0ms (0.3%)

simplify20.0ms (0.4%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

rewrite12.0ms (0.2%)

series149.0ms (3.1%)

simplify60.0ms (1.2%)

prune124.0ms (2.5%)

localize10.0ms (0.2%)

rewrite44.0ms (0.9%)

series987.0ms (20.3%)

simplify77.0ms (1.6%)

prune187.0ms (3.9%)

localize13.0ms (0.3%)

rewrite19.0ms (0.4%)

series1.2s (23.7%)

simplify61.0ms (1.2%)

prune136.0ms (2.8%)

localize12.0ms (0.3%)

rewrite34.0ms (0.7%)

series506.0ms (10.4%)

simplify61.0ms (1.3%)

prune163.0ms (3.3%)

regimes130.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample618.0ms (12.7%)

Profiling