Details

analyze247.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5092	50
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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5126	25

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

0.2b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite96.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
9×	`add-cbrt-cube_binary64_2160`
8×	`add-sqr-sqrt_binary64_2146` `add-log-exp_binary64_2163`
7×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
3×	`unpow-prod-down_binary64_2203` `pow-unpow_binary64_2201` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065`
2×	`sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054`
1×	`pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow2_binary64_2189` `sqr-pow_binary64_2096` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 59

Calls

4 calls:

9.0ms	(.f64 4 (.f64 b b))
8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
4.0ms	(+.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 1523 to 667 computations (56.2% saved)

series712.0ms (13.5%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

352.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
194.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
85.0ms	(+.f64 (.f64 a a) (.f64 b b))
28.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify103.0ms (2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune102.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	3	111

Error

0.0b

Counts

111 → 3

Compiler

Compiled 2214 to 1074 computations (51.5% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
2.7b	(.f64 (.f64 a a) (*.f64 b b))

rewrite183.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

55×	`pow1_binary64_2185`
39×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
30×	`pow-prod-down_binary64_2195`
24×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
13×	`add-log-exp_binary64_2163`
7×	`add-sqr-sqrt_binary64_2146` `associate-l_binary64_2065`
6×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124` `sum-log_binary64_2215`
4×	`pow-prod-up_binary64_2194` `pow-plus_binary64_2187`
3×	`associate-r_binary64_2064` `*-commutative_binary64_2055`
2×	`pow2_binary64_2205` `pow-sqr_binary64_2097` `unswap-sqr_binary64_2092`
1×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-+l+_binary64_2057` `+-commutative_binary64_2054`

Counts

4 → 89

Calls

4 calls:

28.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
13.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
5.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2952 to 1549 computations (47.5% saved)

series603.0ms (11.4%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

370.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
95.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
74.0ms	(.f64 (.f64 a a) (*.f64 b b))
27.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1875 to 1540 computations (17.9% saved)

simplify82.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4980	1790
1	4980	1790

prune146.0ms (2.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	122	3	125

Error

0.0b

Counts

125 → 3

Compiler

Compiled 3231 to 1890 computations (41.5% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
2.7b	(.f64 (.f64 a a) (*.f64 b b))

rewrite122.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`pow1_binary64_2185`
16×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
14×	`pow-prod-down_binary64_2195`
9×	`cbrt-prod_binary64_2155`
8×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
7×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`pow-prod-up_binary64_2194` `pow-plus_binary64_2187` `add-log-exp_binary64_2163`
3×	`pow1/3_binary64_2206`
2×	`pow2_binary64_2205` `pow-sqr_binary64_2097`
1×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 62

Calls

4 calls:

9.0ms	(.f64 (.f64 a a) (*.f64 b b))
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)

Compiler

Compiled 2266 to 1466 computations (35.3% saved)

series85.0ms (1.6%)

Error

0.0b

Counts

4 → 6

Calls

4 calls:

75.0ms	(.f64 (.f64 a a) (*.f64 b b))
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

Compiler

Compiled 576 to 489 computations (15.1% saved)

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5149	453

prune117.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	68	3	71

Error

0.0b

Counts

71 → 3

Compiler

Compiled 2330 to 1618 computations (30.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 3)) 2) (.f64 4 (.f64 b b)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 3)
0.3b	(pow.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 3)) 2)
24.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 3))

rewrite157.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`unpow-prod-down_binary64_2203` `cbrt-prod_binary64_2155`
15×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`cube-prod_binary64_2152`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `pow-unpow_binary64_2201`
5×	`add-cbrt-cube_binary64_2160`
4×	`cube-div_binary64_2153` `sqr-pow_binary64_2096`
3×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `unpow3_binary64_2190` `cube-mult_binary64_2154` `pow-pow_binary64_2196`
2×	`pow1/3_binary64_2206` `cbrt-div_binary64_2156` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
1×	`rem-cbrt-cube_binary64_2148` `unpow2_binary64_2189` `rem-cube-cbrt_binary64_2147` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 90

Calls

4 calls:

13.0ms	(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 3)) 2) (.f64 4 (.f64 b b)))
7.0ms	(pow.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 3)) 2)
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 3)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 3))

Compiler

Compiled 2914 to 1376 computations (52.8% saved)

series794.0ms (15.1%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

356.0ms	(+.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 3)) 2) (.f64 4 (.f64 b b)))
180.0ms	(pow.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 3)) 2)
99.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 3)
95.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 3))

Compiler

Compiled 2862 to 2357 computations (17.6% saved)

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5229	2717

prune147.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	153	3	156

Error

0.0b

Counts

156 → 3

Compiler

Compiled 3410 to 1647 computations (51.7% saved)

regimes291.0ms (5.5%)

Accuracy

Total 0.0b remaining (80.8%)

Threshold costs 0.0b (80.8%)

Compiler

Compiled 4374 to 2761 computations (36.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	49
1	37	49

end0.0ms (0%)

sample1.0s (19.6%)

Algorithm

1×

intervals

Results

341.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 616 to 405 computations (34.3% saved)

Details

analyze247.0ms (4.7%)

sample20.0ms (0.4%)

simplify41.0ms (0.8%)

prune3.0ms (0%)

localize10.0ms (0.2%)

rewrite96.0ms (1.8%)

series712.0ms (13.5%)

simplify103.0ms (2%)

prune102.0ms (1.9%)

localize16.0ms (0.3%)

rewrite183.0ms (3.5%)

series603.0ms (11.4%)

simplify82.0ms (1.6%)

prune146.0ms (2.8%)

localize21.0ms (0.4%)

rewrite122.0ms (2.3%)

series85.0ms (1.6%)

simplify66.0ms (1.2%)

prune117.0ms (2.2%)

localize15.0ms (0.3%)

rewrite157.0ms (3%)

series794.0ms (15.1%)

simplify58.0ms (1.1%)

prune147.0ms (2.8%)

regimes291.0ms (5.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (19.6%)

Profiling