Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify95.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune7.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 841/108 x) 4/29)
0.1b	(*.f64 841/108 x)

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_8625`
4×	`add-cube-cbrt_binary64_8638` `add-log-exp_binary64_8642` `add-exp-log_binary64_8641` `*-un-lft-identity_binary64_8603` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
3×	`associate-l_binary64_8544` `associate-r_binary64_8543`
1×	`flip3-+_binary64_8606` `cbrt-unprod_binary64_8636` `flip-+_binary64_8577` `*-commutative_binary64_8534` `prod-exp_binary64_8652` `sum-log_binary64_8694` `+-commutative_binary64_8533` `pow-prod-down_binary64_8674` `unswap-sqr_binary64_8571`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+.f64 (*.f64 841/108 x) 4/29)
4.0ms	(*.f64 841/108 x)

series32.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(+.f64 (*.f64 841/108 x) 4/29)
12.0ms	(*.f64 841/108 x)

simplify76.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5087	275

prune29.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Error

Counts

36 → 3

Compiler

Compiled 318 to 265 computations (16.7% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
0.1b	(*.f64 x (cbrt.f64 841/108))
0.4b	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
1.0b	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

rewrite40.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_8625`
25×	`pow1_binary64_8664`
20×	`cbrt-prod_binary64_8634` `add-exp-log_binary64_8641`
15×	`add-cube-cbrt_binary64_8638` `*-un-lft-identity_binary64_8603`
13×	`associate-r_binary64_8543`
11×	`add-cbrt-cube_binary64_8639` `pow-prod-down_binary64_8674`
10×	`cbrt-unprod_binary64_8636` `associate-l_binary64_8544` `prod-exp_binary64_8652`
6×	`pow1/3_binary64_8685` `add-log-exp_binary64_8642` `swap-sqr_binary64_8570` `unswap-sqr_binary64_8571`
3×	`*-commutative_binary64_8534`
2×	`pow-prod-up_binary64_8673` `pow-sqr_binary64_8576`
1×	`flip3-+_binary64_8606` `flip-+_binary64_8577` `pow-plus_binary64_8666` `pow2_binary64_8684` `sum-log_binary64_8694` `+-commutative_binary64_8533`

Counts

4 → 95

Calls

4 calls:

11.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
10.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
7.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))
5.0ms	(*.f64 x (cbrt.f64 841/108))

series149.0ms (10.1%)

Counts

4 → 10

Calls

4 calls:

65.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
57.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
27.0ms	(*.f64 x (cbrt.f64 841/108))
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

simplify54.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4876	847
1	4876	847

prune98.0ms (6.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	105	3	108

Error

Counts

108 → 3

Compiler

Compiled 1363 to 1234 computations (9.5% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 841/108 x) 3)) 4/29)
0.1b	(*.f64 841/108 x)
0.2b	(pow.f64 (*.f64 841/108 x) 3)
41.2b	(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))

rewrite19.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603`
9×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
8×	`add-cube-cbrt_binary64_8638` `cbrt-prod_binary64_8634`
6×	`add-log-exp_binary64_8642`
3×	`associate-l_binary64_8544` `pow-unpow_binary64_8680` `associate-r_binary64_8543`
2×	`unpow3_binary64_8669` `sqr-pow_binary64_8575` `cbrt-unprod_binary64_8636` `cube-mult_binary64_8633` `pow-pow_binary64_8675` `unpow-prod-down_binary64_8682` `pow-exp_binary64_8671` `cube-prod_binary64_8631` `prod-exp_binary64_8652` `pow-prod-down_binary64_8674` `rem-cube-cbrt_binary64_8626`
1×	`pow1/3_binary64_8685` `flip3-+_binary64_8606` `distribute-lft-out_binary64_8554` `flip-+_binary64_8577` `pow-to-exp_binary64_8672` `*-commutative_binary64_8534` `rem-cbrt-cube_binary64_8627` `sum-log_binary64_8694` `+-commutative_binary64_8533` `unswap-sqr_binary64_8571`

Counts

4 → 69

Calls

4 calls:

6.0ms	(+.f64 (cbrt.f64 (pow.f64 (*.f64 841/108 x) 3)) 4/29)
4.0ms	(*.f64 841/108 x)
4.0ms	(pow.f64 (*.f64 841/108 x) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))

series89.0ms (6%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(+.f64 (cbrt.f64 (pow.f64 (*.f64 841/108 x) 3)) 4/29)
27.0ms	(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))
24.0ms	(pow.f64 (*.f64 841/108 x) 3)
10.0ms	(*.f64 841/108 x)

simplify87.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4904	622
1	4904	622

prune60.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	81	3	84

Error

Counts

84 → 3

Compiler

Compiled 833 to 711 computations (14.6% saved)

regimes67.0ms (4.5%)

Accuracy

Total 0.1b remaining (94.5%)

Threshold costs 0.1b (94.5%)

Compiler

Compiled 420 to 399 computations (5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms (0%)

sample531.0ms (36%)

Algorithm

1×

intervals

Results

223.0ms	7994×	body	128	valid
1.0ms	6×	body	1024	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 145 to 139 computations (4.1% saved)

Details

analyze4.0ms (0.2%)

sample12.0ms (0.8%)

simplify95.0ms (6.5%)

prune7.0ms (0.5%)

localize4.0ms (0.3%)

rewrite9.0ms (0.6%)

series32.0ms (2.2%)

simplify76.0ms (5.1%)

prune29.0ms (2%)

localize7.0ms (0.4%)

rewrite40.0ms (2.7%)

series149.0ms (10.1%)

simplify54.0ms (3.6%)

prune98.0ms (6.7%)

localize6.0ms (0.4%)

rewrite19.0ms (1.3%)

series89.0ms (6%)

simplify87.0ms (5.9%)

prune60.0ms (4.1%)

regimes67.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample531.0ms (36%)

Profiling