Details

Time bar (total: 10.4s)

sample19.0ms

Algorithm
intervals
Results
11.0ms483×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (14.0ms)

IterNodesCost
067
1117
2257
3517
41036
52466
66936
721566
done50016

prune7.0ms

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))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×exp-prod
7×add-sqr-sqrt
5×add-cube-cbrt distribute-neg-in *-un-lft-identity exp-sum add-log-exp
4×distribute-lft-neg-in distribute-rgt-neg-in
3×prod-diff rem-exp-log
2×neg-log difference-of-squares
1×pow1 add-exp-log neg-sub0 exp-neg expm1-log1p-u neg-mul-1 sub-neg exp-diff diff-log add-cbrt-cube log1p-expm1-u
Counts
1 → 31
Calls
1 calls:
12.0ms
(exp (- (- 1.0 (* x x))))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(exp (- (- 1.0 (* x x))))

simplify869.0ms

Counts
34 → 34
Iterations

Useful iterations: 3 (152.0ms)

IterNodesCost
075310
1139298
2363256
31548229
done5000229

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (- (+ (sqrt 1.0) x)))
0.1b
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
26×add-sqr-sqrt
24×exp-prod
22×add-cube-cbrt
20×unpow-prod-up
18×prod-diff
13×pow-pow
10×sqrt-prod
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×add-exp-log expm1-log1p-u neg-mul-1 distribute-neg-in exp-sum neg-log add-cbrt-cube log1p-expm1-u difference-of-squares
1×neg-sub0 exp-neg pow-to-exp sub-neg exp-diff pow-exp sum-log distribute-lft-out-- pow-sub sqr-pow
Counts
2 → 83
Calls
2 calls:
30.0ms
(exp (- (+ (sqrt 1.0) x)))
41.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

series244.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(exp (- (+ (sqrt 1.0) x)))
212.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

simplify581.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
01621509
13741290
212851138
done50011138

prune160.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
80×unpow-prod-up
72×prod-diff
71×*-un-lft-identity
67×add-cube-cbrt
44×sqrt-prod
28×pow-pow
27×associate-*r* associate-*l*
26×exp-prod
18×unpow-prod-down
12×pow-unpow
10×sqr-pow
9×add-exp-log distribute-lft-neg-in distribute-rgt-neg-in prod-exp unswap-sqr
8×pow-to-exp pow-exp
6×pow-sub
5×pow1 add-cbrt-cube
4×sub-neg difference-of-squares
3×expm1-log1p-u log1p-expm1-u 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 → 199
Calls
3 calls:
10.0ms
(pow (exp (- x)) (- (sqrt 1.0) x))
60.0ms
(* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))
14.0ms
(pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x))

series445.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(pow (exp (- x)) (- (sqrt 1.0) x))
313.0ms
(* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))
92.0ms
(pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x))

simplify1.3s

Counts
208 → 208
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02654416
16443697
224493087
done50003028

prune494.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
50×*-un-lft-identity
48×add-cube-cbrt
41×add-exp-log
40×unpow-prod-up
36×pow-to-exp prod-diff pow-exp prod-exp
30×div-exp
28×pow-pow
27×associate-*r*
26×exp-prod
25×sqrt-prod
24×unpow-prod-down
12×sqr-pow
11×add-cbrt-cube
9×distribute-lft-neg-in pow-unpow distribute-rgt-neg-in unswap-sqr
7×times-frac associate-*l* associate-/r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-sub
2×cbrt-undiv neg-mul-1 sub-neg associate-*r/ cbrt-unprod difference-of-squares
1×frac-2neg clear-num *-commutative div-inv associate-/l/ associate-/l* distribute-lft-out--
Counts
4 → 212
Calls
4 calls:
8.0ms
(pow (exp (- (sqrt 1.0))) x)
10.0ms
(pow (exp (- x)) (- (sqrt 1.0) x))
38.0ms
(* (pow (exp (- (sqrt 1.0))) (sqrt 1.0)) (pow (exp (- x)) (- (sqrt 1.0) x)))
22.0ms
(/ (* (pow (exp (- (sqrt 1.0))) (sqrt 1.0)) (pow (exp (- x)) (- (sqrt 1.0) x))) (pow (exp (- (sqrt 1.0))) x))

series1.1s

Counts
4 → 12
Calls
4 calls:
65.0ms
(pow (exp (- (sqrt 1.0))) x)
47.0ms
(pow (exp (- x)) (- (sqrt 1.0) x))
349.0ms
(* (pow (exp (- (sqrt 1.0))) (sqrt 1.0)) (pow (exp (- x)) (- (sqrt 1.0) x)))
670.0ms
(/ (* (pow (exp (- (sqrt 1.0))) (sqrt 1.0)) (pow (exp (- x)) (- (sqrt 1.0) x))) (pow (exp (- (sqrt 1.0))) x))

simplify2.0s

Counts
224 → 224
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03204581
17833987
232332999
done50002955

prune531.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
11423
done1423

end0.0ms

sample521.0ms

Algorithm
intervals
Results
345.0ms16019×body80valid