Details

Time bar (total: 2.8s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms191×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)))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ a (- (acos a)))

simplify102.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0166384
1493372
21442367
33704366
45002366

prune128.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:
7.0ms
(/ (- (acos a)) a)
10.0ms
(/ 1 (/ (- (acos a)) a))

series61.0ms

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

simplify79.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06631934
130641717
250011525

prune305.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
21×add-sqr-sqrt
18×div-exp
16×prod-exp add-cbrt-cube
15×*-un-lft-identity
14×add-cube-cbrt times-frac
13×associate-*r*
10×associate-*l*
9×rec-exp 1-exp
7×pow1
5×cbrt-undiv
4×cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l* unswap-sqr
2×expm1-log1p-u pow-flip associate-*r/ pow-prod-down associate-/r/ un-div-inv log1p-expm1-u div-inv add-log-exp
1×distribute-lft-neg-out neg-mul-1 frac-2neg clear-num associate-/r* *-commutative inv-pow
Counts
2 → 88
Calls
2 calls:
10.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
14.0ms
(* (- (acos a)) (/ 1 a))

series62.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
36.0ms
(* (- (acos a)) (/ 1 a))

simplify45.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0355529
11644425
25001401

prune146.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ 1 a))
0.5b
(cbrt (/ 1 a))
0.5b
(cbrt (/ 1 a))
0.5b
(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 div-inv
7×cbrt-div
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 161
Calls
4 calls:
2.0ms
(cbrt (/ 1 a))
2.0ms
(cbrt (/ 1 a))
2.0ms
(cbrt (/ 1 a))
18.0ms
(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))

series779.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt (/ 1 a))
195.0ms
(cbrt (/ 1 a))
189.0ms
(cbrt (/ 1 a))
212.0ms
(* (cbrt (/ 1 a)) (cbrt (/ 1 a)))

simplify47.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
02231172
19091064
25001904

prune339.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

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

sample466.0ms

Algorithm
intervals
Results
176.0ms8000×body80valid
114.0ms7986×body80nan