Details

Time bar (total: 1.7s)

sample19.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
5.0ms242×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
043

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ a (neg (acos a)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×neg-mul-1
3×add-exp-log add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 55
Calls
1 calls:
4.0ms
(/ a (neg (acos a)))

series30.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ a (neg (acos a)))

simplify92.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0164371
1483359
21375359
33633358
45001358

prune93.0ms

Filtered
58 candidates to 42 candidates (72.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New50858
Fresh000
Picked011
Done000
Total50959

Merged error: 0.0b

Counts
59 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (neg (acos a)) a)
0.3b
(/ 1 (/ (neg (acos a)) a))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×distribute-lft-neg-in distribute-rgt-neg-in
37×associate-/r*
16×neg-mul-1
15×add-exp-log
13×associate-/l*
9×add-cbrt-cube
8×div-exp
6×div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 217
Calls
2 calls:
4.0ms
(/ (neg (acos a)) a)
10.0ms
(/ 1 (/ (neg (acos a)) a))

series56.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (neg (acos a)) a)
24.0ms
(/ 1 (/ (neg (acos a)) a))

simplify73.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06591893
129531699
250011507

prune235.0ms

Filtered
223 candidates to 107 candidates (48.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2176223
Fresh437
Picked011
Done011
Total22111232

Merged error: 0.0b

Counts
232 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (acos a))
0.4b
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
71×add-exp-log
40×times-frac div-exp
25×add-cbrt-cube
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×prod-exp associate-/r*
12×cbrt-undiv
10×rec-exp 1-exp
4×cbrt-unprod div-inv associate-/l*
3×pow1
2×frac-2neg clear-num associate-/l/ add-log-exp
1×pow-flip mul-1-neg associate-*r/ distribute-frac-neg associate-/r/ un-div-inv inv-pow
Counts
2 → 98
Calls
2 calls:
3.0ms
(/ 1 (acos a))
9.0ms
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

series28.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (acos a))
23.0ms
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0474616
12446473
25001428

prune101.0ms

Filtered
104 candidates to 45 candidates (43.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1022104
Fresh538
Picked011
Done022
Total1078115

Merged error: 0b

Counts
115 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))
1.0b
(cbrt (/ 1 (pow (acos a) 3)))
1.0b
(pow (acos a) 3)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
67×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
40×cbrt-prod
26×add-exp-log
14×add-cbrt-cube
13×associate-/r*
12×unpow-prod-down cube-prod div-exp
6×cbrt-undiv
4×pow1 cube-mult unpow3 prod-exp div-inv sqr-pow
3×pow-unpow add-log-exp
2×rec-exp cbrt-div 1-exp cbrt-unprod
1×pow-to-exp pow-pow frac-2neg mul-1-neg pow1/3 associate-*r/ distribute-frac-neg pow-exp clear-num associate-/r/ associate-/l/ associate-/l* rem-cube-cbrt
Counts
3 → 124
Calls
3 calls:
14.0ms
(/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))
5.0ms
(cbrt (/ 1 (pow (acos a) 3)))
2.0ms
(pow (acos a) 3)

series62.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))
5.0ms
(cbrt (/ 1 (pow (acos a) 3)))
32.0ms
(pow (acos a) 3)

simplify67.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04851017
12714804
25001780

prune146.0ms

Filtered
133 candidates to 56 candidates (42.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1312133
Fresh224
Picked011
Done123
Total1347141

Merged error: 0b

Counts
141 → 7

regimes51.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043

end0.0ms

sample520.0ms

Algorithm
intervals
Results
195.0ms8000×body80valid
144.0ms7952×body80nan

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