Details

analyze412.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	52
1	60	52
0	3	3
1	3	3

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
31.2%	68.6%	0.1%	8
39%	56.2%	4.8%	9
50.7%	43.7%	5.6%	10
60.3%	33.7%	6%	11
64.6%	26.5%	8.9%	12
70.5%	20.3%	9.2%	13
74.6%	16.1%	9.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

prune3.0ms (0%)

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 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 x 2) (*.f64 y x))
0.0b	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

rewrite58.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_10006`
4×	`sum-log_binary64_10058` `*-un-lft-identity_binary64_9967`
2×	`pow1_binary64_10028` `add-exp-log_binary64_10005` `add-cbrt-cube_binary64_10003` `add-cube-cbrt_binary64_10002` `add-sqr-sqrt_binary64_9989` `flip3-+_binary64_9970` `flip-+_binary64_9941` `+-commutative_binary64_9897`
1×	`distribute-lft-out_binary64_9918` `associate-+l+_binary64_9900`

Counts

2 → 25

Calls

2 calls:

9.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
6.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))

Compiler

Compiled 442 to 232 computations (47.5% saved)

series299.0ms (4.2%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

183.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
101.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))

Compiler

Compiled 373 to 325 computations (12.9% saved)

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5010	622

prune52.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Error

Counts

53 → 3

Compiler

Compiled 441 to 244 computations (44.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x (+.f64 y 1/2)) z)
0.0b	(*.f64 x (+.f64 y 1/2))

rewrite76.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_9989` `*-un-lft-identity_binary64_9967`
4×	`pow1_binary64_10028` `add-exp-log_binary64_10005` `add-log-exp_binary64_10006` `add-cbrt-cube_binary64_10003` `add-cube-cbrt_binary64_10002` `associate-r_binary64_9907`
3×	`associate-l_binary64_9908`
2×	`distribute-rgt-in_binary64_9917` `distribute-lft-in_binary64_9916` `flip3-+_binary64_9970` `associate-*r/_binary64_9909` `flip-+_binary64_9941` `associate-+l+_binary64_9900`
1×	`pow-prod-down_binary64_10038` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `unswap-sqr_binary64_9935` `distribute-lft-out_binary64_9918` `*-commutative_binary64_9898` `sum-log_binary64_10058` `+-commutative_binary64_9897`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 y 1/2))
6.0ms	(+.f64 (*.f64 x (+.f64 y 1/2)) z)

Compiler

Compiled 464 to 298 computations (35.8% saved)

series279.0ms (3.9%)

Error

Counts

2 → 27

Calls

2 calls:

179.0ms	(+.f64 (*.f64 x (+.f64 y 1/2)) z)
81.0ms	(*.f64 x (+.f64 y 1/2))

Compiler

Compiled 373 to 325 computations (12.9% saved)

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4949	593
1	4949	593

prune58.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	63	3	66

Error

Counts

66 → 3

Compiler

Compiled 424 to 270 computations (36.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y 1/2)) z)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z)))
0.6b	(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))
0.6b	(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))
0.6b	(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))

rewrite229.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_9998`
23×	`add-sqr-sqrt_binary64_9989`
18×	`cbrt-div_binary64_9999`
15×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
11×	`pow1_binary64_10028`
9×	`pow1/3_binary64_10049` `flip3-+_binary64_9970` `flip-+_binary64_9941`
6×	`add-exp-log_binary64_10005` `swap-sqr_binary64_9934` `associate-l_binary64_9908` `associate-r_binary64_9907`
4×	`add-log-exp_binary64_10006` `add-cbrt-cube_binary64_10003` `frac-times_binary64_9977` `unswap-sqr_binary64_9935`
2×	`pow-prod-down_binary64_10038` `pow-prod-up_binary64_10037` `pow-sqr_binary64_9940` `associate-l/_binary64_9910` `associate-r/_binary64_9909`
1×	`pow2_binary64_10048` `pow-plus_binary64_10030` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `*-commutative_binary64_9898`

Counts

4 → 87

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y 1/2)) z)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))
6.0ms	(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))
6.0ms	(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))

Compiler

Compiled 3219 to 2161 computations (32.9% saved)

series3.2s (44.6%)

Error

Counts

4 → 92

Calls

4 calls:

1.4s	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y 1/2)) z)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z)))
501.0ms	(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))
497.0ms	(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))
484.0ms	(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))

Compiler

Compiled 13448 to 10644 computations (20.9% saved)

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4980	8190
1	4980	8190

prune441.0ms (6.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	179	3	182

Error

Counts

182 → 3

Compiler

Compiled 6575 to 4404 computations (33% saved)

regimes1.2s (16%)

Accuracy

Total 0.0b remaining (57.1%)

Threshold costs 0.0b (57.1%)

Compiler

Compiled 8251 to 6746 computations (18.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	10
1	15	10

end1.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

sample617.0ms (8.6%)

Algorithm

1×

intervals

Results

242.0ms	7997×	body	128	valid
8.0ms	288×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 62 to 66 computations (-6.5% saved)

Details

analyze412.0ms (5.7%)

sample19.0ms (0.3%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite58.0ms (0.8%)

series299.0ms (4.2%)

simplify64.0ms (0.9%)

prune52.0ms (0.7%)

localize6.0ms (0.1%)

rewrite76.0ms (1.1%)

series279.0ms (3.9%)

simplify76.0ms (1.1%)

prune58.0ms (0.8%)

localize11.0ms (0.2%)

rewrite229.0ms (3.2%)

series3.2s (44.6%)

simplify108.0ms (1.5%)

prune441.0ms (6.1%)

regimes1.2s (16%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end1.0ms (0%)

sample617.0ms (8.6%)

Profiling