Details

Time bar (total: 2.2s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
6.0ms248×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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 frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 55
Calls
1 calls:
4.0ms
(/ a (- (acos a)))

series25.0ms

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

simplify100.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0164376
1491364
21440359
33702358
45001358

prune116.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
13.0ms
(/ 1 (/ (- (acos a)) a))
4.0ms
(/ (- (acos a)) a)

series58.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1 (/ (- (acos a)) a))
33.0ms
(/ (- (acos a)) a)

simplify75.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06591916
130601699
250021507

prune281.0ms

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)

rewrite26.0ms

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 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×neg-sub0 div-sub distribute-frac-neg associate-/r/
Counts
2 → 145
Calls
2 calls:
12.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))
4.0ms
(/ (- (acos a)) a)

series59.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (- (acos a)) a))
34.0ms
(/ (- (acos a)) a)

simplify66.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05231285
127151217
250021001

prune347.0ms

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 (/ 1 (acos a))) (/ 1 a))

rewrite15.0ms

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:
2.0ms
(/ 1 (acos a))
9.0ms
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

series30.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (acos a))
24.0ms
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

simplify60.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0475616
12430473
25001428

prune113.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes60.0ms

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

sample675.0ms

Algorithm
intervals
Results
308.0ms8000×body80valid
187.0ms7751×body80nan