Details

Time bar (total: 2.5s)

sample16.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms245×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: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ 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*
neg-mul-1
add-exp-log add-cbrt-cube associate-/l*
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)))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ a (- (acos a)))

simplify89.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0166384
1493372
21442367
33704366
45002366

prune109.0ms

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

rewrite26.0ms

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*
add-cbrt-cube
div-exp
div-inv
cbrt-undiv
pow1
expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 221
Calls
2 calls:
4.0ms
(/ (- (acos a)) a)
10.0ms
(/ 1 (/ (- (acos a)) a))

series59.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (- (acos a)) a)
27.0ms
(/ 1 (/ (- (acos a)) a))

simplify68.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06631934
130641717
250011525

prune260.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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*
rec-exp 1-exp
pow1
cbrt-undiv
cbrt-unprod
distribute-lft-neg-in distribute-rgt-neg-in associate-/l* unswap-sqr
expm1-log1p-u pow-flip associate-*r/ pow-prod-down associate-/r/ un-div-inv log1p-expm1-u div-inv add-log-exp
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)))
11.0ms
(* (- (acos a)) (/ 1 a))

series58.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
36.0ms
(* (- (acos a)) (/ 1 a))

simplify38.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0355529
11644425
25001401

prune124.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt a) (cbrt a))
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt a) (cbrt a))
0.0ms
(cbrt a)
0.0ms
(cbrt a)
1.0ms
(cbrt a)

series734.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt a) (cbrt a))
184.0ms
(cbrt a)
175.0ms
(cbrt a)
180.0ms
(cbrt a)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune196.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes69.0ms

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

sample443.0ms

Algorithm
intervals
Results
160.0ms8000×body80valid
112.0ms8243×body80nan