Details

analyze191.0ms (12.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4919	18
1	4919	18
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	18.7%	12.6%	7
68.7%	15.6%	15.7%	8
71.8%	9.4%	18.8%	9
71.8%	7.8%	20.4%	10
73.4%	4.7%	22%	11
73.4%	3.9%	22.7%	12
74.1%	2.3%	23.5%	13
74.1%	2%	23.9%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify70.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5127	9

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (.f64 (.f64 x y) y))
0.1b	(.f64 (.f64 x y) y)

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `pow1_binary64_4913`
4×	`add-log-exp_binary64_4891`
3×	`cbrt-unprod_binary64_4885` `add-cube-cbrt_binary64_4887` `associate-r_binary64_4792` `*-un-lft-identity_binary64_4852` `prod-exp_binary64_4901` `add-sqr-sqrt_binary64_4874` `pow-prod-down_binary64_4923`
1×	`associate-l_binary64_4793` `rem-exp-log_binary64_4892` `exp-to-pow_binary64_4914` `exp-prod_binary64_4904` `*-commutative_binary64_4783`

Counts

2 → 28

Calls

2 calls:

5.0ms	(.f64 (.f64 x y) y)
2.0ms	(exp.f64 (.f64 (.f64 x y) y))

series51.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(exp.f64 (.f64 (.f64 x y) y))
24.0ms	(.f64 (.f64 x y) y)

simplify79.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5027	305

prune18.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Error

0.0b

Counts

35 → 2

Compiler

Compiled 310 to 92 computations (70.3% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (.f64 y (.f64 x y)))
0.0b	(cbrt.f64 (pow.f64 (exp.f64 (.f64 y (.f64 x y))) 3))
0.0b	(pow.f64 (exp.f64 (.f64 y (.f64 x y))) 3)
0.1b	(.f64 y (.f64 x y))

rewrite21.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_4883`
11×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874`
10×	`add-cbrt-cube_binary64_4888` `pow1_binary64_4913`
9×	`add-exp-log_binary64_4890`
7×	`add-log-exp_binary64_4891`
6×	`cube-prod_binary64_4880` `unpow-prod-down_binary64_4931`
3×	`associate-l_binary64_4793` `pow-pow_binary64_4924` `cbrt-unprod_binary64_4885` `prod-exp_binary64_4901` `pow-unpow_binary64_4929` `pow-prod-down_binary64_4923`
2×	`cube-mult_binary64_4882` `exp-to-pow_binary64_4914` `exp-prod_binary64_4904` `unpow3_binary64_4918` `sqr-pow_binary64_4824`
1×	`rem-exp-log_binary64_4892` `rem-cube-cbrt_binary64_4875` `associate-r_binary64_4792` `pow1/3_binary64_4934` `pow-to-exp_binary64_4921` `pow-exp_binary64_4920` `rem-cbrt-cube_binary64_4876` `*-commutative_binary64_4783`

Counts

4 → 74

Calls

4 calls:

8.0ms	(.f64 y (.f64 x y))
4.0ms	(pow.f64 (exp.f64 (.f64 y (.f64 x y))) 3)
3.0ms	(cbrt.f64 (pow.f64 (exp.f64 (.f64 y (.f64 x y))) 3))
2.0ms	(exp.f64 (.f64 y (.f64 x y)))

series77.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow.f64 (exp.f64 (.f64 y (.f64 x y))) 3)
16.0ms	(.f64 y (.f64 x y))
15.0ms	(cbrt.f64 (pow.f64 (exp.f64 (.f64 y (.f64 x y))) 3))
13.0ms	(exp.f64 (.f64 y (.f64 x y)))

simplify80.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5051	983

prune56.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	86	2	88

Error

0.0b

Counts

88 → 2

Compiler

Compiled 1040 to 388 computations (62.7% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (.f64 y x))) 3)) 3))
0.0b	(pow.f64 (exp.f64 (.f64 y (.f64 y x))) 3)
0.0b	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (.f64 y x))) 3)) 3)
0.1b	(.f64 y (.f64 y x))

rewrite37.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`cbrt-prod_binary64_4883`
45×	`cube-prod_binary64_4880` `unpow-prod-down_binary64_4931`
26×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874`
11×	`pow1_binary64_4913`
10×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
7×	`cube-mult_binary64_4882` `unpow3_binary64_4918` `sqr-pow_binary64_4824`
6×	`pow-unpow_binary64_4929`
5×	`pow-pow_binary64_4924` `add-log-exp_binary64_4891`
3×	`associate-l_binary64_4793` `cbrt-unprod_binary64_4885` `prod-exp_binary64_4901` `pow-prod-down_binary64_4923`
2×	`rem-cube-cbrt_binary64_4875` `pow1/3_binary64_4934` `pow-to-exp_binary64_4921` `pow-exp_binary64_4920`
1×	`exp-to-pow_binary64_4914` `associate-r_binary64_4792` `exp-prod_binary64_4904` `rem-cbrt-cube_binary64_4876` `*-commutative_binary64_4783`

Counts

4 → 136

Calls

4 calls:

7.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (.f64 y x))) 3)) 3))
6.0ms	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (.f64 y x))) 3)) 3)
6.0ms	(.f64 y (.f64 y x))
4.0ms	(pow.f64 (exp.f64 (.f64 y (.f64 y x))) 3)

series93.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (.f64 y x))) 3)) 3)
31.0ms	(pow.f64 (exp.f64 (.f64 y (.f64 y x))) 3)
14.0ms	(.f64 y (.f64 y x))
14.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y (.f64 y x))) 3)) 3))

simplify58.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5253	2231

prune103.0ms (7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	148	2	150

Error

0.0b

Counts

150 → 2

Compiler

Compiled 2126 to 820 computations (61.4% saved)

regimes41.0ms (2.8%)

Accuracy

Total 0.0b remaining (4.1%)

Threshold costs 0.0b (4.1%)

Compiler

Compiled 146 to 150 computations (-2.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	8	9

end0.0ms (0%)

sample455.0ms (30.8%)

Algorithm

1×

intervals

Results

209.0ms	8000×	body	128	valid
3.0ms	108×	body	128	invalid

Compiler

Compiled 43 to 44 computations (-2.3% saved)

Details

analyze191.0ms (12.9%)

sample12.0ms (0.8%)

simplify70.0ms (4.7%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite9.0ms (0.6%)

series51.0ms (3.4%)

simplify79.0ms (5.3%)

prune18.0ms (1.2%)

localize7.0ms (0.4%)

rewrite21.0ms (1.4%)

series77.0ms (5.2%)

simplify80.0ms (5.4%)

prune56.0ms (3.8%)

localize9.0ms (0.6%)

rewrite37.0ms (2.5%)

series93.0ms (6.3%)

simplify58.0ms (3.9%)

prune103.0ms (7%)

regimes41.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample455.0ms (30.8%)

Profiling