Details

Time bar (total: 2.9s)

sample23.0ms

Algorithm
intervals
Results
8.0ms300×body80nan
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
043

prune1.0ms

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)))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ a (neg (acos a)))

simplify90.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0164371
1483359
21375359
33633358
45001358

prune94.0ms

Filtered
58 candidates to 42 candidates (72.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New49958
Fresh000
Picked011
Done000
Total491059

Merged error: 0.0b

Counts
59 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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)
9.0ms
(/ 1 (/ (neg (acos a)) a))

series57.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (neg (acos a)) a)
22.0ms
(/ 1 (/ (neg (acos a)) a))

simplify70.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06591916
130601699
250011507

prune208.0ms

Filtered
223 candidates to 105 candidates (47.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New2194223
Fresh358
Picked011
Done011
Total22211233

Merged error: 0.0b

Counts
233 → 11

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (neg (acos a)))
0.5b
(/ (/ 1 (neg (acos a))) (/ 1 a))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
1207×times-frac
550×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
138×distribute-lft-neg-in distribute-rgt-neg-in
51×div-inv
46×add-exp-log neg-mul-1
37×associate-/l*
34×div-exp
23×associate-/r*
16×add-cbrt-cube
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 580
Calls
2 calls:
5.0ms
(/ 1 (neg (acos a)))
20.0ms
(/ (/ 1 (neg (acos a))) (/ 1 a))

series28.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (neg (acos a)))
22.0ms
(/ (/ 1 (neg (acos a))) (/ 1 a))

simplify114.0ms

Algorithm
egg-herbie
Counts
586 → 586
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
025177330
150016273

prune511.0ms

Filtered
586 candidates to 226 candidates (38.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5833586
Fresh718
Picked011
Done022
Total5907597

Merged error: 0b

Counts
597 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (neg (acos a)))
0.5b
(/ (cbrt (pow (/ 1 (neg (acos a))) 3)) (/ 1 a))
1.0b
(pow (/ 1 (neg (acos a))) 3)
1.0b
(cbrt (pow (/ 1 (neg (acos a))) 3))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
2693×times-frac
1243×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1110×cbrt-prod
544×unpow-prod-down cube-prod
300×distribute-lft-neg-in distribute-rgt-neg-in
112×div-inv
100×neg-mul-1
80×associate-/l*
23×associate-/r*
22×add-exp-log
16×cube-mult unpow3 sqr-pow
12×add-cbrt-cube
10×div-exp
7×pow1
5×cbrt-undiv
4×pow-exp add-log-exp
3×cube-div rec-exp pow-unpow pow-pow 1-exp
2×cbrt-div pow-flip frac-2neg clear-num inv-pow rem-cube-cbrt
1×pow-to-exp pow1/3 associate-/r/ rem-cbrt-cube associate-/l/
Counts
4 → 1344
Calls
4 calls:
4.0ms
(/ 1 (neg (acos a)))
42.0ms
(/ (cbrt (pow (/ 1 (neg (acos a))) 3)) (/ 1 a))
8.0ms
(pow (/ 1 (neg (acos a))) 3)
9.0ms
(cbrt (pow (/ 1 (neg (acos a))) 3))

series130.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1 (neg (acos a)))
55.0ms
(/ (cbrt (pow (/ 1 (neg (acos a))) 3)) (/ 1 a))
38.0ms
(pow (/ 1 (neg (acos a))) 3)
32.0ms
(cbrt (pow (/ 1 (neg (acos a))) 3))

simplify218.0ms

Algorithm
egg-herbie
Counts
1356 → 1356
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0245815010
1500212541

prune427.0ms

Filtered
1356 candidates to 178 candidates (13.1%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New135511356
Fresh123
Picked011
Done033
Total135671363

Merged error: 0b

Counts
1363 → 7

regimes46.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043

end0.0ms

sample531.0ms

Algorithm
intervals
Results
201.0ms8000×body80valid
151.0ms8215×body80nan

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