Details

analyze425.0ms (12.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	52
1	376	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
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	234×	body	128	valid
1.0ms	9×	body	1024	valid
0.0ms	5×	body	512	valid
0.0ms	6×	body	256	valid
0.0ms	2×	body	2048	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	149	13
1	149	13

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_2163`
3×	`sum-log_binary64_2215` `*-un-lft-identity_binary64_2124`
1×	`distribute-lft-out_binary64_2075` `pow1_binary64_2185` `associate-+r+_binary64_2056` `add-cube-cbrt_binary64_2159` `+-commutative_binary64_2054` `add-sqr-sqrt_binary64_2146` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`

Counts

1 → 14

Calls

1 calls:

8.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

series20.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

19.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

simplify61.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5241	299

prune18.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Error

0.0b

Counts

18 → 4

Compiler

Compiled 320 to 185 computations (42.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_2163`
4×	`sum-log_binary64_2215` `*-un-lft-identity_binary64_2124`
2×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `+-commutative_binary64_2054` `add-sqr-sqrt_binary64_2146` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
1×	`distribute-lft-out_binary64_2075` `associate-+l+_binary64_2057`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
3.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))

series43.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

22.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))
21.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)

simplify65.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4865	511
1	4865	511

prune26.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Error

0.0b

Counts

35 → 4

Compiler

Compiled 519 to 283 computations (45.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2155`
23×	`add-sqr-sqrt_binary64_2146`
18×	`cbrt-div_binary64_2156`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`pow1_binary64_2185`
9×	`pow1/3_binary64_2206` `flip3-+_binary64_2127` `flip-+_binary64_2098`
6×	`swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `add-exp-log_binary64_2162`
4×	`unswap-sqr_binary64_2092` `add-log-exp_binary64_2163` `frac-times_binary64_2134` `add-cbrt-cube_binary64_2160`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `pow-sqr_binary64_2097`
1×	`*-commutative_binary64_2055` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `pow2_binary64_2205` `cbrt-unprod_binary64_2157`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

series652.0ms (19.5%)

Counts

4 → 12

Calls

4 calls:

189.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
159.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
157.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
146.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

simplify118.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4868	2257
1	4868	2257

prune152.0ms (4.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Error

0.0b

Counts

103 → 6

Compiler

Compiled 3553 to 2076 computations (41.6% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_2155`
8×	`cbrt-div_binary64_2156` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `pow1/3_binary64_2206` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

series590.0ms (17.6%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
144.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
144.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
143.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

simplify81.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4948	1312
1	4948	1312

prune125.0ms (3.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Error

0.0b

Counts

70 → 6

Compiler

Compiled 3120 to 1898 computations (39.2% saved)

regimes111.0ms (3.3%)

Accuracy

Total 0.0b remaining (51.8%)

Threshold costs 0.0b (51.8%)

Compiler

Compiled 1236 to 902 computations (27% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample725.0ms (21.7%)

Algorithm

1×

intervals

Results

217.0ms	7408×	body	128	valid
19.0ms	204×	body	1024	valid
13.0ms	185×	body	512	valid
11.0ms	94×	body	2048	valid
5.0ms	109×	body	256	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 323 to 237 computations (26.6% saved)

Details

analyze425.0ms (12.7%)

sample16.0ms (0.5%)

simplify9.0ms (0.3%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite9.0ms (0.3%)

series20.0ms (0.6%)

simplify61.0ms (1.8%)

prune18.0ms (0.5%)

localize6.0ms (0.2%)

rewrite11.0ms (0.3%)

series43.0ms (1.3%)

simplify65.0ms (1.9%)

prune26.0ms (0.8%)

localize10.0ms (0.3%)

rewrite29.0ms (0.9%)

series652.0ms (19.5%)

simplify118.0ms (3.5%)

prune152.0ms (4.5%)

localize16.0ms (0.5%)

rewrite18.0ms (0.5%)

series590.0ms (17.6%)

simplify81.0ms (2.4%)

prune125.0ms (3.7%)

regimes111.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample725.0ms (21.7%)

Profiling