Details

Time bar (total: 3.2s)

sample24.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
5.0ms256×pre80true
2.0ms204×pre80false

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1487
21107
32847
415807
550017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
0.0b
(- (* a a) (* b b))
14.1b
(/ (- (* a a) (* b b)) (* a a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×pow1 times-frac associate-/l*
3×expm1-log1p-u sqrt-prod log1p-expm1-u difference-of-squares
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 60
Calls
3 calls:
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
3.0ms
(- (* a a) (* b b))
9.0ms
(/ (- (* a a) (* b b)) (* a a))

series103.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
35.0ms
(- (* a a) (* b b))
50.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify32.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0241458
11037405
25001401

prune180.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(/ (+ a b) a)
0.0b
(/ (- a b) a)
0.1b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
68×add-sqr-sqrt
58×times-frac
41×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×associate-*r*
16×associate-*l*
9×associate-/l*
7×pow1 distribute-lft-out distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
3×sqrt-prod
2×frac-2neg clear-num
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+
Counts
4 → 151
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
8.0ms
(/ (+ a b) a)
8.0ms
(/ (- a b) a)
31.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series135.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
26.0ms
(/ (+ a b) a)
29.0ms
(/ (- a b) a)
64.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify67.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0505990
12546909
25001905

prune387.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(/ (+ a b) a)
0.0b
(/ (- a b) a)
0.1b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
68×add-sqr-sqrt
58×times-frac
41×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×associate-*r*
16×associate-*l*
9×associate-/l*
7×pow1 distribute-lft-out distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
3×sqrt-prod
2×frac-2neg clear-num
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+
Counts
4 → 151
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
8.0ms
(/ (+ a b) a)
8.0ms
(/ (- a b) a)
31.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series135.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
22.0ms
(/ (+ a b) a)
30.0ms
(/ (- a b) a)
63.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify66.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0505990
12546909
25001905

prune472.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (sqrt (fabs (* (+ a b) (/ (- 1 (/ b a)) a))))))
0.0b
(sqrt (fabs (* (+ a b) (/ (- 1 (/ b a)) a))))
0.0b
(/ (- 1 (/ b a)) a)
0.2b
(* (+ a b) (/ (- 1 (/ b a)) a))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
64×*-un-lft-identity
63×times-frac
34×add-cube-cbrt
28×associate-*r* difference-of-squares
11×add-exp-log add-cbrt-cube
8×pow1 associate-/l*
7×log-pow distribute-lft-out--
6×exp-prod sqrt-prod
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×log-prod associate-/r*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 div-sub associate-*r/ rem-log-exp pow-prod-down clear-num *-commutative flip-- distribute-lft-out
Counts
4 → 141
Calls
4 calls:
2.0ms
(log (exp (sqrt (fabs (* (+ a b) (/ (- 1 (/ b a)) a))))))
1.0ms
(sqrt (fabs (* (+ a b) (/ (- 1 (/ b a)) a))))
29.0ms
(/ (- 1 (/ b a)) a)
46.0ms
(* (+ a b) (/ (- 1 (/ b a)) a))

series119.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(log (exp (sqrt (fabs (* (+ a b) (/ (- 1 (/ b a)) a))))))
13.0ms
(sqrt (fabs (* (+ a b) (/ (- 1 (/ b a)) a))))
37.0ms
(/ (- 1 (/ b a)) a)
55.0ms
(* (+ a b) (/ (- 1 (/ b a)) a))

simplify61.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04851158
123841068
250011065

prune447.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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
0169
1169

end0.0ms

sample595.0ms

Algorithm
intervals
Results
185.0ms8000×body80valid
99.0ms7787×pre80false
91.0ms8000×pre80true