Details

Time bar (total: 4.0s)

sample24.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms261×pre80false
3.0ms256×pre80true

simplify53.0ms

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: 15.3b

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))
14.9b
(/ (- (* 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))))
31.0ms
(- (* a a) (* b b))
55.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify32.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0241458
11037405
25001401

prune170.0ms

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)
0.0b
(* (/ (+ 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)
9.0ms
(/ (- a b) a)
28.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series130.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
21.0ms
(/ (+ a b) a)
35.0ms
(/ (- a b) a)
58.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify64.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0505991
12546909
25001905

prune362.0ms

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
(exp (* (/ (+ a b) a) (/ (- a b) a)))
0.0b
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(/ (- a b) a)
0.0b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
52×*-un-lft-identity
46×times-frac
32×add-cube-cbrt
19×associate-*r*
18×add-exp-log add-cbrt-cube
16×associate-*l*
7×pow1 distribute-lft-out-- add-log-exp difference-of-squares
5×cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
3×log-prod associate-/r* log-pow div-inv distribute-lft-out
2×exp-prod exp-to-pow associate-/l/
1×frac-times flip3-- frac-2neg div-sub associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative flip-- rem-exp-log
Counts
4 → 129
Calls
4 calls:
1.0ms
(exp (* (/ (+ a b) a) (/ (- a b) a)))
2.0ms
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
8.0ms
(/ (- a b) a)
28.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series219.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(exp (* (/ (+ a b) a) (/ (- a b) a)))
64.0ms
(log (exp (* (/ (+ a b) a) (/ (- a b) a))))
30.0ms
(/ (- a b) a)
63.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify61.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0468902
12341806
25001804

prune372.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
238×add-sqr-sqrt
209×sqrt-prod
193×*-un-lft-identity
157×times-frac
107×add-cube-cbrt
92×associate-*r*
59×add-exp-log add-cbrt-cube
56×difference-of-squares
36×prod-diff
28×distribute-lft-out--
22×prod-exp cbrt-unprod
18×cbrt-undiv div-exp
17×associate-*l*
15×distribute-lft-out
11×pow1
9×associate-/l*
6×frac-times fma-neg associate-*l/ associate-/r* add-log-exp unswap-sqr
4×expm1-log1p-u associate-*r/ pow-prod-down log1p-expm1-u div-inv
2×flip3-- *-commutative flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub clear-num
Counts
4 → 324
Calls
4 calls:
47.0ms
(* (/ (+ a b) a) (/ (+ (sqrt a) (sqrt b)) (sqrt a)))
8.0ms
(- (sqrt a) (sqrt b))
76.0ms
(* (* (/ (+ a b) a) (/ (+ (sqrt a) (sqrt b)) (sqrt a))) (/ (- (sqrt a) (sqrt b)) (sqrt a)))
24.0ms
(/ (- (sqrt a) (sqrt b)) (sqrt a))

series670.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (/ (+ a b) a) (/ (+ (sqrt a) (sqrt b)) (sqrt a)))
56.0ms
(- (sqrt a) (sqrt b))
324.0ms
(* (* (/ (+ a b) a) (/ (+ (sqrt a) (sqrt b)) (sqrt a))) (/ (- (sqrt a) (sqrt b)) (sqrt a)))
114.0ms
(/ (- (sqrt a) (sqrt b)) (sqrt a))

simplify59.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011754439
150023758

prune748.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

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
0139
1139

end0.0ms

sample597.0ms

Algorithm
intervals
Results
183.0ms8000×body80valid
98.0ms8000×pre80true
95.0ms8127×pre80false