Details

Time bar (total: 3.7s)

sample19.0ms

Algorithm
intervals
Results
10.0ms495×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1254
2474
3904
42394
58054
630724
750034

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(exp (- (- 1.0 (* x x))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×exp-prod
6×add-sqr-sqrt
5×add-log-exp
4×distribute-lft-neg-in add-cube-cbrt distribute-rgt-neg-in *-un-lft-identity
3×rem-exp-log
2×distribute-neg-in exp-sum neg-log difference-of-squares
1×pow1 add-exp-log neg-sub0 exp-neg neg-mul-1 sub-neg exp-diff diff-log add-cbrt-cube
Counts
1 → 26
Calls
1 calls:
7.0ms
(exp (- (- 1.0 (* x x))))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(exp (- (- 1.0 (* x x))))

simplify45.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0108131
1298119
21348116
35001114

prune53.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (- (+ (sqrt 1.0) x)))
0.0b
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
24×exp-prod
20×*-un-lft-identity
14×add-sqr-sqrt
13×pow-pow
10×add-cube-cbrt
8×distribute-lft-neg-in distribute-rgt-neg-in
6×pow-unpow add-log-exp
4×unpow-prod-down distribute-lft-out
3×pow1 rem-exp-log
2×unpow-prod-up add-exp-log neg-mul-1 distribute-neg-in exp-sum neg-log add-cbrt-cube difference-of-squares
1×neg-sub0 exp-neg pow-to-exp sub-neg exp-diff pow-exp sum-log sqrt-prod distribute-lft-out-- pow-sub sqr-pow
Counts
2 → 61
Calls
2 calls:
6.0ms
(exp (- (+ (sqrt 1.0) x)))
11.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

series248.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(exp (- (+ (sqrt 1.0) x)))
217.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

simplify31.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0224467
1866440
25001437

prune139.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (exp (- x)) (- (sqrt 1.0) x))
0.0b
(* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))
0.0b
(pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
28×pow-pow
26×exp-prod
23×*-un-lft-identity
19×add-cube-cbrt
18×unpow-prod-down
12×pow-unpow
10×sqr-pow
9×add-exp-log distribute-lft-neg-in distribute-rgt-neg-in associate-*r* associate-*l* prod-exp unswap-sqr
8×unpow-prod-up pow-to-exp pow-exp sqrt-prod
6×pow-sub
5×pow1 add-cbrt-cube
4×sub-neg difference-of-squares
3×add-log-exp
2×neg-mul-1 distribute-lft-out--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative cbrt-unprod
Counts
3 → 121
Calls
3 calls:
7.0ms
(pow (exp (- x)) (- (sqrt 1.0) x))
12.0ms
(* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))
11.0ms
(pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x))

series453.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(pow (exp (- x)) (- (sqrt 1.0) x))
319.0ms
(* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))
94.0ms
(pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x))

simplify53.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03961311
116971222
250021202

prune344.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (pow (exp (- (+ (sqrt 1.0) x))) (sqrt 1.0)) (pow (exp (- (+ (sqrt 1.0) x))) x))
0.0b
(exp (- (+ (sqrt 1.0) x)))
0.0b
(exp (- (+ (sqrt 1.0) x)))
0.0b
(pow (exp (- (+ (sqrt 1.0) x))) x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
76×unpow-prod-down
64×times-frac
63×*-un-lft-identity
51×add-sqr-sqrt add-cube-cbrt
36×exp-prod
21×distribute-neg-in exp-sum
19×sqr-pow
13×pow-pow
12×distribute-lft-neg-in distribute-rgt-neg-in add-log-exp
10×add-exp-log
9×div-exp
8×associate-/r* associate-/l*
7×pow-to-exp pow-exp
6×add-cbrt-cube rem-exp-log distribute-lft-out
5×pow1
4×neg-log
3×neg-mul-1 pow-unpow
2×neg-sub0 exp-neg exp-diff sum-log
1×cbrt-undiv frac-2neg clear-num div-inv pow-div
Counts
4 → 181
Calls
4 calls:
13.0ms
(/ (pow (exp (- (+ (sqrt 1.0) x))) (sqrt 1.0)) (pow (exp (- (+ (sqrt 1.0) x))) x))
6.0ms
(exp (- (+ (sqrt 1.0) x)))
6.0ms
(exp (- (+ (sqrt 1.0) x)))
8.0ms
(pow (exp (- (+ (sqrt 1.0) x))) x)

series967.0ms

Counts
4 → 12
Calls
4 calls:
659.0ms
(/ (pow (exp (- (+ (sqrt 1.0) x))) (sqrt 1.0)) (pow (exp (- (+ (sqrt 1.0) x))) x))
187.0ms
(exp (- (+ (sqrt 1.0) x)))
30.0ms
(exp (- (+ (sqrt 1.0) x)))
91.0ms
(pow (exp (- (+ (sqrt 1.0) x))) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04662603
120772485
250012452

prune505.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01312
11412
21412

end0.0ms

sample508.0ms

Algorithm
intervals
Results
333.0ms15824×body80valid