Details

analyze546.0ms (10.2%)

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
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	57×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify177.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	10
1	11	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_4246`
1×	`add-sqr-sqrt_binary64_4229` `add-cbrt-cube_binary64_4243` `*-un-lft-identity_binary64_4207` `pow1_binary64_4268` `+-commutative_binary64_4137` `flip-+_binary64_4181` `add-exp-log_binary64_4245` `sum-log_binary64_4298` `flip3-+_binary64_4210` `add-cube-cbrt_binary64_4242`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

series79.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

79.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

simplify104.0ms (2%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5251	208

prune22.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

Compiler

Compiled 443 to 183 computations (58.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4238`
23×	`add-sqr-sqrt_binary64_4229`
18×	`cbrt-div_binary64_4239`
15×	`*-un-lft-identity_binary64_4207` `add-cube-cbrt_binary64_4242`
11×	`pow1_binary64_4268`
9×	`flip-+_binary64_4181` `flip3-+_binary64_4210` `pow1/3_binary64_4289`
6×	`swap-sqr_binary64_4174` `associate-l_binary64_4148` `associate-r_binary64_4147` `add-exp-log_binary64_4245`
4×	`add-log-exp_binary64_4246` `add-cbrt-cube_binary64_4243` `frac-times_binary64_4217` `unswap-sqr_binary64_4175`
2×	`associate-r/_binary64_4149` `associate-l/_binary64_4150` `pow-prod-down_binary64_4278` `pow-sqr_binary64_4180` `pow-prod-up_binary64_4277`
1×	`pow-plus_binary64_4270` `cbrt-unprod_binary64_4240` `prod-exp_binary64_4256` `*-commutative_binary64_4138` `pow2_binary64_4288`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series1.1s (19.9%)

Counts

4 → 12

Calls

4 calls:

318.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
254.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
248.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
246.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4913	2175
1	4913	2175

prune140.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

Compiler

Compiled 4182 to 994 computations (76.2% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_4238`
8×	`add-sqr-sqrt_binary64_4229` `*-un-lft-identity_binary64_4207` `cbrt-div_binary64_4239` `add-cube-cbrt_binary64_4242`
4×	`add-log-exp_binary64_4246` `add-cbrt-cube_binary64_4243` `pow1_binary64_4268` `flip-+_binary64_4181` `add-exp-log_binary64_4245` `flip3-+_binary64_4210` `pow1/3_binary64_4289`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series961.0ms (18%)

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
247.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
240.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
227.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4967	1236
1	4967	1236

prune95.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	63	6	69

Merged error: 0b

Counts

69 → 6

Compiler

Compiled 3218 to 675 computations (79% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.3b	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 1/3)

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_4229` `*-un-lft-identity_binary64_4207` `cbrt-prod_binary64_4238` `add-cube-cbrt_binary64_4242`
6×	`cbrt-div_binary64_4239`
5×	`pow1_binary64_4268` `add-exp-log_binary64_4245`
4×	`add-log-exp_binary64_4246` `add-cbrt-cube_binary64_4243`
3×	`pow-unpow_binary64_4284` `flip-+_binary64_4181` `unpow-prod-down_binary64_4286` `flip3-+_binary64_4210` `pow1/3_binary64_4289`
1×	`sqr-pow_binary64_4179` `unpow1/3_binary64_4274` `pow-to-exp_binary64_4276` `pow-pow_binary64_4279` `pow-exp_binary64_4275`

Counts

4 → 57

Calls

4 calls:

5.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 1/3)
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series945.0ms (17.7%)

Counts

4 → 12

Calls

4 calls:

243.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 1/3)
240.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
237.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
225.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5135	1166

prune97.0ms (1.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	69	6	75

Merged error: 0b

Counts

75 → 6

Compiler

Compiled 3132 to 788 computations (74.8% saved)

regimes115.0ms (2.1%)

Compiler: Compiled 1231 to 612 computations (50.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample611.0ms (11.4%)

Algorithm

1×

intervals

Results

203.0ms	8000×	body	128	valid
35.0ms	1348×	body	128	invalid

Compiler

Compiled 186 to 97 computations (47.8% saved)

Details

analyze546.0ms (10.2%)

sample17.0ms (0.3%)

simplify177.0ms (3.3%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite5.0ms (0.1%)

series79.0ms (1.5%)

simplify104.0ms (2%)

prune22.0ms (0.4%)

localize11.0ms (0.2%)

rewrite35.0ms (0.7%)

series1.1s (19.9%)

simplify88.0ms (1.6%)

prune140.0ms (2.6%)

localize16.0ms (0.3%)

rewrite22.0ms (0.4%)

series961.0ms (18%)

simplify67.0ms (1.3%)

prune95.0ms (1.8%)

localize21.0ms (0.4%)

rewrite24.0ms (0.5%)

series945.0ms (17.7%)

simplify71.0ms (1.3%)

prune97.0ms (1.8%)

regimes115.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample611.0ms (11.4%)

Profiling