Details

Time bar (total: 2.2s)

sample20.0ms

Algorithm
intervals
Results
6.0ms277×body80nan
5.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
043

prune1.0ms

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)))

rewrite5.0ms

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:
3.0ms
(/ a (- (acos a)))

series22.0ms

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

simplify88.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0166384
1493372
21442367
33704366
45002366

prune110.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
4.0ms
(/ (- (acos a)) a)
9.0ms
(/ 1 (/ (- (acos a)) a))

series58.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- (acos a)) a)
27.0ms
(/ 1 (/ (- (acos a)) a))

simplify65.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06631934
130641717
250011525

prune262.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
62×times-frac
53×add-sqr-sqrt
47×*-un-lft-identity
46×add-cube-cbrt
34×associate-*l*
21×distribute-lft-neg-in distribute-rgt-neg-in
15×add-exp-log
10×associate-/r*
9×add-cbrt-cube
7×neg-mul-1
5×pow1
4×div-exp prod-exp
3×associate-*r* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 119
Calls
2 calls:
3.0ms
(/ 1 (- (acos a)))
15.0ms
(* (/ 1 (- (acos a))) a)

series31.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- (acos a)))
26.0ms
(* (/ 1 (- (acos a))) a)

simplify56.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0302704
11221623
23187538
35001535

prune165.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

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:
3.0ms
(/ 1 (- (acos a)))
20.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

series28.0ms

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

simplify107.0ms

Algorithm
egg-herbie
Counts
590 → 590
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
025217412
150026293

prune587.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes54.0ms

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

sample445.0ms

Algorithm
intervals
Results
158.0ms8000×body80valid
113.0ms8044×body80nan