Details

analyze62.0ms (1.6%)

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
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify110.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	184	10
1	184	10

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1123`
3×	`-un-lft-identity_binary64_1101` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041` `associate-l*_binary64_1042`
2×	`sub-neg_binary64_1094` `distribute-lft-in_binary64_1050` `associate-*r/_binary64_1043` `cancel-sign-sub-inv_binary64_1067` `distribute-rgt-in_binary64_1051`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `flip--_binary64_1076` `flip3--_binary64_1105` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

series76.0ms (1.9%)

Counts

1 → 11

Calls

1 calls:

76.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

Compiler

Compiled 112 to 103 computations (8% saved)

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5118	387

prune34.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	28	7	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	8	36

Merged error: 0.0b

Counts

36 → 8

Compiler

Compiled 489 to 249 computations (49.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1132`
23×	`add-sqr-sqrt_binary64_1123`
18×	`cbrt-div_binary64_1133`
15×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
11×	`pow1_binary64_1162`
9×	`pow1/3_binary64_1183` `flip--_binary64_1076` `flip3--_binary64_1105`
6×	`add-exp-log_binary64_1139` `swap-sqr_binary64_1068` `associate-r_binary64_1041` `associate-l_binary64_1042`
4×	`frac-times_binary64_1111` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
2×	`pow-prod-up_binary64_1171` `associate-r/_binary64_1043` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172` `associate-l/_binary64_1044`
1×	`pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow2_binary64_1182`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

series477.0ms (12.1%)

Counts

4 → 58

Calls

4 calls:

150.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
114.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
112.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
100.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

Compiler

Compiled 2508 to 1822 computations (27.4% saved)

simplify112.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4925	2463
1	4925	2463

prune194.0ms (4.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	144	9	153

Merged error: 0.0b

Counts

153 → 9

Compiler

Compiled 3983 to 2226 computations (44.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.4b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 4)

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_1132`
11×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
9×	`unpow-prod-down_binary64_1180`
6×	`cbrt-div_binary64_1133`
5×	`add-exp-log_binary64_1139` `pow1_binary64_1162`
4×	`pow1/3_binary64_1183` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`flip--_binary64_1076` `flip3--_binary64_1105` `pow-unpow_binary64_1178`
2×	`pow-pow_binary64_1173`
1×	`pow-exp_binary64_1169` `sqr-pow_binary64_1073` `pow-to-exp_binary64_1170`

Counts

4 → 63

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 4)
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
2.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

series755.0ms (19.2%)

Counts

4 → 66

Calls

4 calls:

350.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 4)
150.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
146.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
108.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

Compiler

Compiled 3418 to 2508 computations (26.6% saved)

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5295	2242

prune219.0ms (5.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	129	9	138

Merged error: 0.0b

Counts

138 → 9

Compiler

Compiled 4457 to 2740 computations (38.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_1043`
18×	`cbrt-div_binary64_1133`
11×	`pow1_binary64_1162`
10×	`add-sqr-sqrt_binary64_1123`
9×	`pow1/3_binary64_1183` `flip--_binary64_1076` `flip3--_binary64_1105`
8×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
7×	`cbrt-prod_binary64_1132`
6×	`add-exp-log_binary64_1139`
4×	`frac-times_binary64_1111` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `swap-sqr_binary64_1068` `associate-r_binary64_1041` `associate-l_binary64_1042`
2×	`pow-prod-up_binary64_1171` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172` `associate-*l/_binary64_1044`
1×	`pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `unswap-sqr_binary64_1069` `pow2_binary64_1182`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))

series676.0ms (17.2%)

Counts

4 → 51

Calls

4 calls:

174.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
169.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
168.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
165.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))

Compiler

Compiled 3380 to 2585 computations (23.5% saved)

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4934	2602
1	4934	2602

prune155.0ms (3.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	123	9	132

Merged error: 0.0b

Counts

132 → 9

Compiler

Compiled 3812 to 1962 computations (48.5% saved)

regimes92.0ms (2.3%)

Compiler: Compiled 807 to 590 computations (26.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms (0%)

sample646.0ms (16.4%)

Algorithm

1×

intervals

Results

195.0ms	8000×	body	128	valid
2.0ms	85×	body	128	invalid

Compiler

Compiled 278 to 205 computations (26.3% saved)

Details

analyze62.0ms (1.6%)

sample13.0ms (0.3%)

simplify110.0ms (2.8%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite8.0ms (0.2%)

series76.0ms (1.9%)

simplify44.0ms (1.1%)

prune34.0ms (0.9%)

localize8.0ms (0.2%)

rewrite28.0ms (0.7%)

series477.0ms (12.1%)

simplify112.0ms (2.9%)

prune194.0ms (4.9%)

localize13.0ms (0.3%)

rewrite20.0ms (0.5%)

series755.0ms (19.2%)

simplify63.0ms (1.6%)

prune219.0ms (5.6%)

localize10.0ms (0.3%)

rewrite28.0ms (0.7%)

series676.0ms (17.2%)

simplify75.0ms (1.9%)

prune155.0ms (3.9%)

regimes92.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample646.0ms (16.4%)

Profiling