Details

analyze1.2s (15%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample88.0ms (1.1%)

Algorithm

1×

intervals

Results

47.0ms	120×	body	2048	valid
19.0ms	68×	body	1024	valid
7.0ms	38×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	18×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune6.0ms (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

0.5b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite133.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

20×	`add-sqr-sqrt_binary64_2146`
19×	`*-un-lft-identity_binary64_2124`
18×	`times-frac_binary64_2130`
15×	`add-cube-cbrt_binary64_2159`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`pow1_binary64_2185` `difference-of-squares_binary64_2093`
6×	`associate-/r*_binary64_2068`
4×	`difference-of-sqr-1_binary64_2094`
3×	`add-log-exp_binary64_2163` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065` `associate-/l*_binary64_2069`
2×	`flip3--_binary64_2128` `associate-/l/_binary64_2071` `flip--_binary64_2099` `associate-/r/_binary64_2070`
1×	`acos-asin_binary64_2305` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

3 → 71

Calls

3 calls:

16.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
9.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1740 to 1097 computations (37% saved)

series115.0ms (1.4%)

Error

0.5b

Counts

3 → 12

Calls

3 calls:

41.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
34.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
30.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 370 to 330 computations (10.8% saved)

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4931	1785
1	4931	1785

prune104.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Error

0.5b

Counts

84 → 3

Compiler

Compiled 1797 to 1156 computations (35.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))
0.0b	(+.f64 (*.f64 v v) (pow.f64 v 4))
0.5b	(acos.f64 (+.f64 -1 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))))

rewrite71.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

7×	`add-sqr-sqrt_binary64_2146`
5×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
3×	`associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-*r/_binary64_2066`
1×	`acos-asin_binary64_2305` `sum-log_binary64_2215` `+-commutative_binary64_2054` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `*-commutative_binary64_2055`

Counts

3 → 41

Calls

3 calls:

9.0ms	(+.f64 (*.f64 v v) (pow.f64 v 4))
8.0ms	(.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))
2.0ms	(acos.f64 (+.f64 -1 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))))

Compiler

Compiled 872 to 583 computations (33.1% saved)

series204.0ms (2.6%)

Error

0.5b

Counts

3 → 15

Calls

3 calls:

79.0ms	(+.f64 (*.f64 v v) (pow.f64 v 4))
78.0ms	(.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))
34.0ms	(acos.f64 (+.f64 -1 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))))

Compiler

Compiled 456 to 415 computations (9% saved)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6083	836

prune99.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Error

0.5b

Counts

59 → 4

Compiler

Compiled 1030 to 719 computations (30.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

rewrite219.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

30×	`add-sqr-sqrt_binary64_2146`
24×	`sqrt-prod_binary64_2140`
21×	`pow1_binary64_2185`
14×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142`
8×	`swap-sqr_binary64_2091`
6×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-l_binary64_2065` `associate-r_binary64_2064`
5×	`pow-prod-up_binary64_2194`
4×	`add-log-exp_binary64_2163` `rem-sqrt-square_binary64_2137` `unswap-sqr_binary64_2092`
3×	`pow-prod-down_binary64_2195` `pow-sqr_binary64_2097`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `sqrt-unprod_binary64_2144` `sqr-abs_binary64_2139` `rem-square-sqrt_binary64_2136` `*-commutative_binary64_2055` `acos-asin_binary64_2305`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 3771 to 2405 computations (36.2% saved)

series187.0ms (2.3%)

Error

0.5b

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
47.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
37.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
36.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

Compiler

Compiled 963 to 773 computations (19.7% saved)

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5552	2247

prune164.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	95	5	100

Error

0.5b

Counts

100 → 5

Compiler

Compiled 3074 to 1956 computations (36.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3))
1.0b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3)))
1.0b	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3)

rewrite419.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

50×	`add-sqr-sqrt_binary64_2146`
48×	`cbrt-prod_binary64_2155`
35×	`sqrt-prod_binary64_2140`
23×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
22×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
21×	`associate-r_binary64_2064`
14×	`unswap-sqr_binary64_2092`
9×	`pow1_binary64_2185`
7×	`add-exp-log_binary64_2162`
6×	`add-cbrt-cube_binary64_2160` `associate-l_binary64_2065`
5×	`sqr-pow_binary64_2096`
4×	`add-log-exp_binary64_2163`
3×	`pow-unpow_binary64_2201` `pow-pow_binary64_2196` `unpow3_binary64_2190` `cube-mult_binary64_2154`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142`
1×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `rem-cube-cbrt_binary64_2147` `sqrt-pow2_binary64_2143` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `*-commutative_binary64_2055` `pow1/3_binary64_2206` `rem-cbrt-cube_binary64_2148` `rem-sqrt-square_binary64_2137`

Counts

4 → 124

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3)))
3.0ms	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3)
3.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

Compiler

Compiled 6721 to 4479 computations (33.4% saved)

series289.0ms (3.6%)

Error

0.5b

Counts

4 → 12

Calls

4 calls:

135.0ms	(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3)
51.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
51.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3))
36.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 3)))

Compiler

Compiled 1017 to 827 computations (18.7% saved)

simplify134.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4951	4285
1	4951	4285

prune378.0ms (4.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	136	5	141

Error

0.5b

Counts

141 → 5

Compiler

Compiled 5211 to 3377 computations (35.2% saved)

regimes311.0ms (3.9%)

Accuracy

Total 0.0b remaining (4.6%)

Threshold costs 0.0b (4.6%)

Compiler

Compiled 4478 to 3148 computations (29.7% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	21
1	67	21

end0.0ms (0%)

sample3.5s (43.5%)

Algorithm

1×

intervals

Results

1.3s	4031×	body	2048	valid
466.0ms	2005×	body	1024	valid
160.0ms	1005×	body	512	valid
48.0ms	453×	body	256	valid
30.0ms	504×	body	128	valid
1.0ms	2×	body	4096	valid
0.0ms	11×	body	128	nan

Compiler

Compiled 1133 to 798 computations (29.6% saved)

Details

analyze1.2s (15%)

sample88.0ms (1.1%)

simplify87.0ms (1.1%)

prune6.0ms (0.1%)

localize8.0ms (0.1%)

rewrite133.0ms (1.7%)

series115.0ms (1.4%)

simplify88.0ms (1.1%)

prune104.0ms (1.3%)

localize11.0ms (0.1%)

rewrite71.0ms (0.9%)

series204.0ms (2.6%)

simplify68.0ms (0.8%)

prune99.0ms (1.2%)

localize14.0ms (0.2%)

rewrite219.0ms (2.7%)

series187.0ms (2.3%)

simplify93.0ms (1.2%)

prune164.0ms (2.1%)

localize13.0ms (0.2%)

rewrite419.0ms (5.3%)

series289.0ms (3.6%)

simplify134.0ms (1.7%)

prune378.0ms (4.7%)

regimes311.0ms (3.9%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample3.5s (43.5%)

Profiling