Details

analyze961.0ms (19.9%)

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)

sample64.0ms (1.3%)

Algorithm

1×

intervals

Results

37.0ms	132×	body	2048	valid
12.0ms	62×	body	1024	valid
5.0ms	32×	body	512	valid
1.0ms	15×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune2.0ms (0%)

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

0.6b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.2%)

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))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

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×	`difference-of-squares_binary64_2093` `pow1_binary64_2185`
6×	`associate-/r*_binary64_2068`
4×	`difference-of-sqr-1_binary64_2094`
3×	`pow-prod-down_binary64_2195` `associate-/l_binary64_2069` `add-log-exp_binary64_2163` `associate-l*_binary64_2065` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `associate-/r/_binary64_2070` `associate-/l/_binary64_2071`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `-commutative_binary64_2055` `acos-asin_binary64_2305` `associate-r*_binary64_2064` `div-sub_binary64_2129` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

3 → 71

Calls

3 calls:

9.0ms	(/.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)))

series62.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
17.0ms	(.f64 5 (.f64 v v))
14.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4935	1788
1	4935	1788

prune91.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	3	81

Error

0.6b

Counts

81 → 3

Compiler

Compiled 1795 to 1154 computations (35.7% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.6b	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`acos-asin_binary64_2305` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`

Counts

1 → 8

Calls

1 calls:

1.0ms

(acos.f64 (+.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

series13.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

12.0ms

(acos.f64 (+.f64 (*.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5029	240

prune15.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	9	2	11
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	10	4	14

Error

0.6b

Counts

14 → 4

Compiler

Compiled 280 to 216 computations (22.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))
1.0b	(sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
1.0b	(sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
1.0b	(.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))) (sqrt.f64 (acos.f64 (+.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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×	`sqrt-pow1_binary64_2142` `pow1/2_binary64_2204`
8×	`swap-sqr_binary64_2091`
6×	`associate-l_binary64_2065` `associate-r_binary64_2064` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
5×	`pow-prod-up_binary64_2194`
4×	`unswap-sqr_binary64_2092` `rem-sqrt-square_binary64_2137` `add-log-exp_binary64_2163`
3×	`pow-prod-down_binary64_2195` `pow-sqr_binary64_2097`
1×	`sqrt-unprod_binary64_2144` `*-commutative_binary64_2055` `acos-asin_binary64_2305` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `rem-square-sqrt_binary64_2136` `pow2_binary64_2205` `sqr-abs_binary64_2139` `cbrt-unprod_binary64_2157`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))) (sqrt.f64 (acos.f64 (+.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))))
1.0ms	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))
1.0ms	(sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
1.0ms	(sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))

series97.0ms (2%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
33.0ms	(sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
16.0ms	(.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))) (sqrt.f64 (acos.f64 (+.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))))
12.0ms	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4905	1968
1	4905	1968

prune140.0ms (2.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	95	5	100

Error

0.6b

Counts

100 → 5

Compiler

Compiled 2663 to 2101 computations (21.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))
1.0b	(sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
1.0b	(sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
1.0b	(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))) 3))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`sqrt-prod_binary64_2140`
63×	`add-sqr-sqrt_binary64_2146`
24×	`unswap-sqr_binary64_2092` `associate-r_binary64_2064`
18×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
16×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`associate-l_binary64_2065` `add-exp-log_binary64_2162`
7×	`pow1_binary64_2185`
6×	`add-cbrt-cube_binary64_2160`
4×	`add-log-exp_binary64_2163` `sqr-pow_binary64_2096`
3×	`prod-exp_binary64_2173`
2×	`sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `pow1/2_binary64_2204`
1×	`unpow3_binary64_2190` `pow-prod-up_binary64_2194` `cube-mult_binary64_2154` `pow-exp_binary64_2192` `*-commutative_binary64_2055` `acos-asin_binary64_2305` `pow-to-exp_binary64_2193` `cbrt-unprod_binary64_2157`

Counts

4 → 104

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))) 3))
1.0ms	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))
1.0ms	(sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
1.0ms	(sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))

series100.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
34.0ms	(sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
18.0ms	(.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))) (pow.f64 (sqrt.f64 (sqrt.f64 (acos.f64 (+.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))) 3))
10.0ms	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

simplify86.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4977	3469
1	4977	3469

prune221.0ms (4.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	115	6	121

Error

0.6b

Counts

121 → 6

Compiler

Compiled 3930 to 3178 computations (19.1% saved)

regimes152.0ms (3.2%)

Accuracy

Total 0.0b remaining (5.4%)

Threshold costs 0.0b (5.4%)

Compiler

Compiled 2112 to 1642 computations (22.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	25
1	35	25

end0.0ms (0%)

sample2.4s (49.8%)

Algorithm

1×

intervals

Results

1.2s	4014×	body	2048	valid
415.0ms	2048×	body	1024	valid
135.0ms	950×	body	512	valid
50.0ms	498×	body	256	valid
27.0ms	490×	body	128	valid
0.0ms	6×	body	128	nan

Compiler

Compiled 471 to 373 computations (20.8% saved)

Details

analyze961.0ms (19.9%)

sample64.0ms (1.3%)

simplify74.0ms (1.5%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite25.0ms (0.5%)

series62.0ms (1.3%)

simplify62.0ms (1.3%)

prune91.0ms (1.9%)

localize8.0ms (0.2%)

rewrite2.0ms (0%)

series13.0ms (0.3%)

simplify76.0ms (1.6%)

prune15.0ms (0.3%)

localize14.0ms (0.3%)

rewrite20.0ms (0.4%)

series97.0ms (2%)

simplify76.0ms (1.6%)

prune140.0ms (2.9%)

localize14.0ms (0.3%)

rewrite35.0ms (0.7%)

series100.0ms (2.1%)

simplify86.0ms (1.8%)

prune221.0ms (4.6%)

regimes152.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.4s (49.8%)

Profiling