Details

analyze116.0ms (1.4%)

Algorithm

1×

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%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify170.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

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 58 to 38 computations (34.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.9b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite184.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
14×	`add-cbrt-cube_binary64_2160`
10×	`add-cube-cbrt_binary64_2159` `associate-r_binary64_2064`
6×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `cancel-sign-sub-inv_binary64_2090`
4×	`associate-*r/_binary64_2066`
3×	`unpow-prod-down_binary64_2203` `pow-unpow_binary64_2201`
2×	`unswap-sqr_binary64_2092` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-l_binary64_2065` `*-commutative_binary64_2055` `sub-neg_binary64_2117` `difference-of-squares_binary64_2093` `associate-+r+_binary64_2056`
1×	`distribute-lft-out_binary64_2075` `pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow2_binary64_2189` `sqr-pow_binary64_2096` `flip3--_binary64_2128` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3356 to 1686 computations (49.8% saved)

series786.0ms (9.7%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

387.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
189.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
81.0ms	(.f64 (.f64 b b) (+.f64 3 a))
51.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3658 to 2730 computations (25.4% saved)

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4962	2518
1	4962	2518

prune207.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	137	4	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	4	142

Error

0.0b

Counts

142 → 4

Compiler

Compiled 4553 to 2397 computations (47.4% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
0.0b	(-.f64 (*.f64 a a) (pow.f64 a 3))
0.0b	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
1.0b	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))

rewrite567.0ms (7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`cancel-sign-sub-inv_binary64_2090`
31×	`add-sqr-sqrt_binary64_2146`
27×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
26×	`associate-+r+_binary64_2056`
22×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
17×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
12×	`associate-r_binary64_2064`
11×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163` `difference-of-squares_binary64_2093`
7×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `sqr-pow_binary64_2096`
5×	`sub-neg_binary64_2117`
4×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-r/_binary64_2066` `associate-l*_binary64_2065`
2×	`unswap-sqr_binary64_2092` `flip3-+_binary64_2127` `flip-+_binary64_2098` `*-commutative_binary64_2055` `flip3--_binary64_2128` `flip--_binary64_2099` `distribute-rgt-out--_binary64_2078` `distribute-lft-out--_binary64_2076`
1×	`sum-log_binary64_2215` `+-commutative_binary64_2054` `diff-log_binary64_2216`

Counts

4 → 141

Calls

4 calls:

12.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
8.0ms	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
8.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
8.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 5937 to 3997 computations (32.7% saved)

series425.0ms (5.3%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

123.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
119.0ms	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
78.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
61.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 2353 to 1862 computations (20.9% saved)

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5238	2513

prune352.0ms (4.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	170	4	174

Error

Counts

174 → 4

Compiler

Compiled 6434 to 4387 computations (31.8% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))) (sqrt.f64 (+.f64 (.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))))
1.0b	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
22.4b	(sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)))
22.4b	(sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)))

rewrite483.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-sqr-sqrt_binary64_2146`
26×	`pow1_binary64_2185`
24×	`sqrt-prod_binary64_2140`
16×	`sqrt-div_binary64_2141`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142`
9×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-r_binary64_2064`
8×	`swap-sqr_binary64_2091`
7×	`associate-l_binary64_2065`
6×	`pow-prod-down_binary64_2195`
5×	`unswap-sqr_binary64_2092` `pow-prod-up_binary64_2194`
4×	`add-log-exp_binary64_2163` `rem-sqrt-square_binary64_2137` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-*r/_binary64_2066` `frac-times_binary64_2134`
3×	`pow-sqr_binary64_2097`
2×	`-commutative_binary64_2055` `associate-l/_binary64_2067`
1×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `pow2_binary64_2205` `pow-plus_binary64_2187` `sqrt-unprod_binary64_2144` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136`

Counts

4 → 111

Calls

4 calls:

32.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))) (sqrt.f64 (+.f64 (.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))))
12.0ms	(sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)))
12.0ms	(sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)))
8.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))

Compiler

Compiled 7330 to 5016 computations (31.6% saved)

series490.0ms (6.1%)

Error

Counts

4 → 29

Calls

4 calls:

122.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
116.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))) (sqrt.f64 (+.f64 (.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))))
100.0ms	(sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)))
98.0ms	(sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)))

Compiler

Compiled 2949 to 2246 computations (23.8% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5447	3415

prune380.0ms (4.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	140	4	144

Error

Counts

144 → 4

Compiler

Compiled 7186 to 4895 computations (31.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3)
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.9b	(.f64 (+.f64 a 3) (.f64 b b))
20.8b	(cbrt.f64 (pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3))

rewrite176.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
15×	`add-cbrt-cube_binary64_2160`
11×	`*-un-lft-identity_binary64_2124`
10×	`add-sqr-sqrt_binary64_2146`
9×	`add-cube-cbrt_binary64_2159`
8×	`cbrt-prod_binary64_2155`
6×	`associate-*l/_binary64_2067` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `pow-unpow_binary64_2201`
5×	`unpow-prod-down_binary64_2203`
4×	`add-log-exp_binary64_2163` `cube-div_binary64_2153` `associate-l_binary64_2065` `pow-pow_binary64_2196` `pow-exp_binary64_2192`
3×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `sqr-pow_binary64_2096` `rem-cube-cbrt_binary64_2147`
2×	`cbrt-div_binary64_2156` `unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `pow-to-exp_binary64_2193`
1×	`pow1/3_binary64_2206` `rem-cbrt-cube_binary64_2148` `unswap-sqr_binary64_2092` `distribute-lft-out_binary64_2075` `associate-r_binary64_2064` `*-commutative_binary64_2055` `unpow2_binary64_2189`

Counts

4 → 86

Calls

4 calls:

9.0ms	(pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3)
8.0ms	(.f64 (+.f64 a 3) (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
3.0ms	(cbrt.f64 (pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3))

Compiler

Compiled 3440 to 1899 computations (44.8% saved)

series424.0ms (5.3%)

Error

Counts

4 → 37

Calls

4 calls:

122.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
90.0ms	(.f64 (+.f64 a 3) (.f64 b b))
83.0ms	(pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3)
80.0ms	(cbrt.f64 (pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3))

Compiler

Compiled 3170 to 2242 computations (29.3% saved)

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5124	1575

prune190.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Error

Counts

127 → 4

Compiler

Compiled 4289 to 2414 computations (43.7% saved)

regimes643.0ms (8%)

Accuracy

Total 0.0b remaining (69.9%)

Threshold costs 0.0b (69.9%)

Compiler

Compiled 10511 to 7202 computations (31.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	49
1	55	49

end0.0ms (0%)

sample2.1s (25.6%)

Algorithm

1×

intervals

Results

472.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 1847 to 1284 computations (30.5% saved)

Details

analyze116.0ms (1.4%)

sample27.0ms (0.3%)

simplify170.0ms (2.1%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite184.0ms (2.3%)

series786.0ms (9.7%)

simplify96.0ms (1.2%)

prune207.0ms (2.6%)

localize22.0ms (0.3%)

rewrite567.0ms (7%)

series425.0ms (5.3%)

simplify85.0ms (1.1%)

prune352.0ms (4.4%)

localize22.0ms (0.3%)

rewrite483.0ms (6%)

series490.0ms (6.1%)

simplify60.0ms (0.7%)

prune380.0ms (4.7%)

localize19.0ms (0.2%)

rewrite176.0ms (2.2%)

series424.0ms (5.3%)

simplify61.0ms (0.8%)

prune190.0ms (2.4%)

regimes643.0ms (8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (25.6%)

Profiling