Details

Time bar (total: 3.0s)

sample29.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
6.0ms248×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
043

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ a (- (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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 57
Calls
1 calls:
4.0ms
(/ a (- (acos a)))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ a (- (acos a)))

simplify101.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0166384
1493372
21442367
33704366
45002366

prune131.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 221
Calls
2 calls:
11.0ms
(/ 1 (/ (- (acos a)) a))
4.0ms
(/ (- (acos a)) a)

series60.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1 (/ (- (acos a)) a))
35.0ms
(/ (- (acos a)) a)

simplify79.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06631934
130641717
250011525

prune306.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))
0.3b
(/ (- (acos a)) a)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
65×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
37×associate-/r*
30×distribute-lft-neg-in distribute-rgt-neg-in
16×add-exp-log
12×add-cbrt-cube
11×associate-/l*
10×neg-mul-1
7×cbrt-undiv div-exp
4×div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/
Counts
2 → 149
Calls
2 calls:
12.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))
4.0ms
(/ (- (acos a)) a)

series61.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))
35.0ms
(/ (- (acos a)) a)

simplify73.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05271309
127211241
250021025

prune381.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

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×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 584
Calls
2 calls:
4.0ms
(/ 1 (- (acos a)))
23.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series39.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- (acos a)))
33.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

simplify113.0ms

Algorithm
egg-herbie
Counts
590 → 590
Iterations

Useful iterations: 1 (53.0ms)

IterNodesCost
025217412
150026293

prune711.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes58.0ms

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

sample695.0ms

Algorithm
intervals
Results
323.0ms8000×body80valid
186.0ms7751×body80nan