Details

analyze122.0ms (3.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	14
1	182	14
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
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	114	7
1	114	7

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (/.f64 y 200))

rewrite35.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_6238` `cancel-sign-sub-inv_binary64_6182`
10×	`*-un-lft-identity_binary64_6216` `times-frac_binary64_6222`
8×	`add-cube-cbrt_binary64_6251`
3×	`add-log-exp_binary64_6255`
2×	`difference-of-squares_binary64_6185`
1×	`diff-log_binary64_6308` `pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `flip3--_binary64_6220` `sub-neg_binary64_6209` `flip--_binary64_6191` `div-inv_binary64_6213` `distribute-lft-out--_binary64_6168`

Counts

1 → 27

Calls

1 calls:

8.0ms

(-.f64 x (/.f64 y 200))

Compiler

Compiled 353 to 244 computations (30.9% saved)

series64.0ms (1.8%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

59.0ms

(-.f64 x (/.f64 y 200))

Compiler

Compiled 114 to 104 computations (8.8% saved)

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4916	304
1	4916	304

prune24.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Error

0.0b

Counts

40 → 2

Compiler

Compiled 285 to 187 computations (34.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 -1/200 y) x)) (cbrt.f64 (+.f64 (*.f64 -1/200 y) x)))
0.5b	(cbrt.f64 (+.f64 (*.f64 -1/200 y) x))
0.5b	(cbrt.f64 (+.f64 (*.f64 -1/200 y) x))
0.5b	(cbrt.f64 (+.f64 (*.f64 -1/200 y) x))

rewrite164.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
18×	`cbrt-div_binary64_6248`
15×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298` `flip3-+_binary64_6219` `flip-+_binary64_6190`
6×	`add-exp-log_binary64_6254` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `associate-r_binary64_6156`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `frac-times_binary64_6226` `unswap-sqr_binary64_6184`
2×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189` `associate-l/_binary64_6159` `associate-r/_binary64_6158`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 -1/200 y) x)) (cbrt.f64 (+.f64 (*.f64 -1/200 y) x)))
4.0ms	(cbrt.f64 (+.f64 (*.f64 -1/200 y) x))
4.0ms	(cbrt.f64 (+.f64 (*.f64 -1/200 y) x))
4.0ms	(cbrt.f64 (+.f64 (*.f64 -1/200 y) x))

Compiler

Compiled 2660 to 1913 computations (28.1% saved)

series468.0ms (12.9%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

142.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 -1/200 y) x)) (cbrt.f64 (+.f64 (*.f64 -1/200 y) x)))
97.0ms	(cbrt.f64 (+.f64 (*.f64 -1/200 y) x))
93.0ms	(cbrt.f64 (+.f64 (*.f64 -1/200 y) x))
89.0ms	(cbrt.f64 (+.f64 (*.f64 -1/200 y) x))

Compiler

Compiled 2924 to 2441 computations (16.5% saved)

simplify121.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5080	2118

prune165.0ms (4.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	125	3	128

Error

0.0b

Counts

128 → 3

Compiler

Compiled 3116 to 2206 computations (29.2% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))))
0.2b	(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200)))) (cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200)))))
0.2b	(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200)))) (cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200)))))
0.5b	(cbrt.f64 (+.f64 (*.f64 -1/200 y) x))

rewrite559.0ms (15.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

89×	`cbrt-prod_binary64_6247`
75×	`add-sqr-sqrt_binary64_6238`
43×	`sqrt-prod_binary64_6232`
31×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
28×	`cbrt-div_binary64_6248`
26×	`sqrt-div_binary64_6233`
22×	`swap-sqr_binary64_6183`
18×	`pow1_binary64_6277` `unswap-sqr_binary64_6184` `associate-l_binary64_6157` `associate-r_binary64_6156`
14×	`pow1/3_binary64_6298` `flip3-+_binary64_6219` `flip-+_binary64_6190`
8×	`add-exp-log_binary64_6254` `frac-times_binary64_6226`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189` `associate-l/_binary64_6159` `associate-r/_binary64_6158`
2×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 157

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200)))) (cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200)))))
13.0ms	(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200)))) (cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200)))))
4.0ms	(cbrt.f64 (+.f64 (*.f64 -1/200 y) x))
3.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))))

Compiler

Compiled 8015 to 5994 computations (25.2% saved)

series444.0ms (12.2%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

111.0ms	(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200)))) (cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200)))))
101.0ms	(cbrt.f64 (+.f64 (*.f64 -1/200 y) x))
100.0ms	(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200)))) (cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200)))))
74.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))))

Compiler

Compiled 3856 to 3112 computations (19.3% saved)

simplify111.0ms (3%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4895	4356
1	4895	4356

prune497.0ms (13.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	191	3	194

Error

0.0b

Counts

194 → 3

Compiler

Compiled 8284 to 6134 computations (26% saved)

regimes111.0ms (3.1%)

Accuracy

Total 0.0b remaining (70.6%)

Threshold costs 0.0b (70.6%)

Compiler

Compiled 1000 to 846 computations (15.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

end0.0ms (0%)

sample644.0ms (17.7%)

Algorithm

1×

intervals

Results

162.0ms

8000×

body

128

valid

Compiler

Compiled 256 to 218 computations (14.8% saved)

Details

analyze122.0ms (3.4%)

sample13.0ms (0.4%)

simplify12.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite35.0ms (1%)

series64.0ms (1.8%)

simplify48.0ms (1.3%)

prune24.0ms (0.7%)

localize8.0ms (0.2%)

rewrite164.0ms (4.5%)

series468.0ms (12.9%)

simplify121.0ms (3.3%)

prune165.0ms (4.5%)

localize15.0ms (0.4%)

rewrite559.0ms (15.4%)

series444.0ms (12.2%)

simplify111.0ms (3%)

prune497.0ms (13.7%)

regimes111.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample644.0ms (17.7%)

Profiling