Details

Time bar (total: 1.8s)

sample20.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
4.0ms259×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)))

rewrite9.0ms

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

series25.0ms

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

simplify91.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0164376
1491364
21440359
33702358
45001358

prune98.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
8.0ms
(/ (- (acos a)) a)
15.0ms
(/ 1 (/ (- (acos a)) a))

series55.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (- (acos a)) a)
21.0ms
(/ 1 (/ (- (acos a)) a))

simplify68.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06591916
130601699
250011507

prune255.0ms

Pruning

13 alts after pruning (12 fresh and 1 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)

rewrite40.0ms

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 rec-exp 1-exp cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 115
Calls
2 calls:
8.0ms
(/ 1 (- (acos a)))
27.0ms
(* (/ 1 (- (acos a))) a)

series26.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- (acos a)))
21.0ms
(* (/ 1 (- (acos a))) a)

simplify55.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0298686
11217605
23183520
35001517

prune163.0ms

Pruning

10 alts after pruning (9 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))

rewrite45.0ms

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×pow-flip associate-*r/ pow-prod-down associate-/r/ un-div-inv div-inv add-log-exp
1×distribute-lft-neg-out neg-mul-1 frac-2neg clear-num associate-/r* *-commutative inv-pow
Counts
2 → 84
Calls
2 calls:
20.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
22.0ms
(* (- (acos a)) (/ 1 a))

series54.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
29.0ms
(* (- (acos a)) (/ 1 a))

simplify37.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0351507
11640403
25001379

prune104.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

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

sample537.0ms

Algorithm
intervals
Results
178.0ms8000×body80valid
110.0ms7844×body80nan