Details

analyze187.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5074	18
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
68.7%	31.2%	0.1%	6
68.7%	18.7%	12.6%	7
71.8%	15.6%	12.6%	8
71.8%	9.4%	18.8%	9
73.4%	7.8%	18.8%	10
73.4%	4.7%	22%	11
74.1%	3.9%	22%	12
74.1%	2.3%	23.5%	13
74.5%	2%	23.5%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
3.0ms	122×	body	128	invalid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify128.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5723	9

prune2.0ms (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 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite25.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_19878`
4×	`add-log-exp_binary64_19895` `pow1_binary64_19917` `add-cbrt-cube_binary64_19892` `add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
3×	`add-exp-log_binary64_19894` `associate-l_binary64_19797` `associate-r_binary64_19796`
1×	`exp-to-pow_binary64_19918` `exp-prod_binary64_19908` `rem-exp-log_binary64_19896` `pow-prod-down_binary64_19927` `prod-exp_binary64_19905` `cbrt-unprod_binary64_19889` `unswap-sqr_binary64_19824` `*-commutative_binary64_19787`

Counts

2 → 28

Calls

2 calls:

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

Compiler

Compiled 320 to 75 computations (76.6% saved)

series86.0ms (2.6%)

Error

0.1b

Counts

2 → 15

Calls

2 calls:

58.0ms	(.f64 x (exp.f64 (.f64 y y)))
18.0ms	(exp.f64 (*.f64 y y))

Compiler

Compiled 302 to 254 computations (15.9% saved)

simplify74.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4939	439
1	4939	439

prune32.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	5	44

Error

0.0b

Counts

44 → 5

Compiler

Compiled 463 to 148 computations (68% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))
0.0b	(pow.f64 (exp.f64 y) y)

rewrite44.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_19878`
8×	`add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
7×	`unpow-prod-down_binary64_19935` `associate-r_binary64_19796`
6×	`add-exp-log_binary64_19894`
4×	`pow-pow_binary64_19928` `add-cbrt-cube_binary64_19892`
3×	`pow-unpow_binary64_19933` `pow1_binary64_19917` `exp-prod_binary64_19908` `sqr-pow_binary64_19828` `prod-exp_binary64_19905` `unswap-sqr_binary64_19824` `associate-l_binary64_19797`
2×	`pow-to-exp_binary64_19925` `pow-exp_binary64_19924` `add-log-exp_binary64_19895`
1×	`cbrt-unprod_binary64_19889` `*-commutative_binary64_19787`

Counts

2 → 45

Calls

2 calls:

5.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))
3.0ms	(pow.f64 (exp.f64 y) y)

Compiler

Compiled 542 to 159 computations (70.7% saved)

series171.0ms (5.2%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

131.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))
31.0ms	(pow.f64 (exp.f64 y) y)

Compiler

Compiled 344 to 245 computations (28.8% saved)

simplify58.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5715	645

prune39.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	61	4	65

Error

0.0b

Counts

65 → 4

Compiler

Compiled 662 to 184 computations (72.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 y))
0.0b	(cbrt.f64 (exp.f64 y))
0.0b	(cbrt.f64 (exp.f64 y))
0.0b	(*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))

rewrite79.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_19887`
23×	`add-sqr-sqrt_binary64_19878`
15×	`add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
11×	`pow1_binary64_19917`
9×	`pow1/3_binary64_19938`
6×	`add-exp-log_binary64_19894` `swap-sqr_binary64_19823` `associate-l_binary64_19797` `associate-r_binary64_19796`
4×	`add-log-exp_binary64_19895` `add-cbrt-cube_binary64_19892` `unswap-sqr_binary64_19824`
2×	`pow-prod-down_binary64_19927` `pow-prod-up_binary64_19926` `pow-sqr_binary64_19829`
1×	`pow2_binary64_19937` `pow-plus_binary64_19919` `prod-exp_binary64_19905` `cbrt-unprod_binary64_19889` `*-commutative_binary64_19787`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))
2.0ms	(cbrt.f64 (exp.f64 y))
2.0ms	(cbrt.f64 (exp.f64 y))
2.0ms	(cbrt.f64 (exp.f64 y))

Compiler

Compiled 1657 to 364 computations (78% saved)

series287.0ms (8.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

80.0ms	(*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))
63.0ms	(cbrt.f64 (exp.f64 y))
62.0ms	(cbrt.f64 (exp.f64 y))
60.0ms	(cbrt.f64 (exp.f64 y))

Compiler

Compiled 1108 to 650 computations (41.3% saved)

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5015	839

prune80.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	97	4	101

Error

0.0b

Counts

101 → 4

Compiler

Compiled 1932 to 560 computations (71% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (sqrt.f64 (exp.f64 y)) y)
0.0b	(pow.f64 (sqrt.f64 (exp.f64 y)) y)
0.0b	(.f64 x (.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y)))
0.0b	(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y))

rewrite151.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

56×	`unpow-prod-down_binary64_19935`
54×	`add-sqr-sqrt_binary64_19878`
41×	`add-exp-log_binary64_19894`
28×	`prod-exp_binary64_19905` `sqrt-prod_binary64_19872`
25×	`add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
17×	`unswap-sqr_binary64_19824`
14×	`pow-to-exp_binary64_19925` `pow-exp_binary64_19924` `sqr-pow_binary64_19828`
13×	`associate-l_binary64_19797`
12×	`swap-sqr_binary64_19823` `pow-pow_binary64_19928`
11×	`add-cbrt-cube_binary64_19892` `associate-r_binary64_19796`
10×	`pow1_binary64_19917`
8×	`sqrt-pow1_binary64_19874`
6×	`pow-unpow_binary64_19933` `exp-prod_binary64_19908`
4×	`add-log-exp_binary64_19895` `cbrt-unprod_binary64_19889`
2×	`pow-prod-down_binary64_19927` `*-commutative_binary64_19787` `pow1/2_binary64_19936` `sqrt-pow2_binary64_19875`
1×	`pow2_binary64_19937` `pow-prod-up_binary64_19926` `pow-sqr_binary64_19829`

Counts

4 → 148

Calls

4 calls:

11.0ms	(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y))
10.0ms	(.f64 x (.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y)))
7.0ms	(pow.f64 (sqrt.f64 (exp.f64 y)) y)
4.0ms	(pow.f64 (sqrt.f64 (exp.f64 y)) y)

Compiler

Compiled 3168 to 548 computations (82.7% saved)

series369.0ms (11.2%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

218.0ms	(.f64 x (.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y)))
57.0ms	(*.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) y) (pow.f64 (sqrt.f64 (exp.f64 y)) y))
41.0ms	(pow.f64 (sqrt.f64 (exp.f64 y)) y)
35.0ms	(pow.f64 (sqrt.f64 (exp.f64 y)) y)

Compiler

Compiled 875 to 601 computations (31.3% saved)

simplify134.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5099	1922

prune103.0ms (3.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	175	4	179

Error

0.0b

Counts

179 → 4

Compiler

Compiled 2358 to 595 computations (74.8% saved)

regimes199.0ms (6%)

Accuracy

Total 0.0b remaining (78.6%)

Threshold costs 0.0b (78.6%)

Compiler

Compiled 1811 to 1052 computations (41.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	28
1	12	28

end0.0ms (0%)

sample926.0ms (28.1%)

Algorithm

1×

intervals

Results

188.0ms	8000×	body	128	valid
94.0ms	4171×	body	128	invalid

Compiler

Compiled 312 to 186 computations (40.4% saved)

Details

analyze187.0ms (5.7%)

sample19.0ms (0.6%)

simplify128.0ms (3.9%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite25.0ms (0.8%)

series86.0ms (2.6%)

simplify74.0ms (2.2%)

prune32.0ms (1%)

localize5.0ms (0.1%)

rewrite44.0ms (1.3%)

series171.0ms (5.2%)

simplify58.0ms (1.7%)

prune39.0ms (1.2%)

localize11.0ms (0.3%)

rewrite79.0ms (2.4%)

series287.0ms (8.7%)

simplify77.0ms (2.3%)

prune80.0ms (2.4%)

localize7.0ms (0.2%)

rewrite151.0ms (4.6%)

series369.0ms (11.2%)

simplify134.0ms (4.1%)

prune103.0ms (3.1%)

regimes199.0ms (6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample926.0ms (28.1%)

Profiling