Details

Time bar (total: 3.3s)

sample33.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
5.0ms265×pre80false
5.0ms256×pre80true

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
12.7b
(/ (- (* a a) (* b b)) (* a a))

rewrite13.0ms

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×sqrt-prod difference-of-squares
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 52
Calls
3 calls:
3.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms
(/ (- (* a a) (* b b)) (* a a))

series102.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- (* a a) (* b b))
17.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
54.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify168.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (162.0ms)

IterNodesCost
0228417
1970368
24781367
35001366

prune143.0ms

Pruning

3 alts after pruning (3 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))

rewrite52.0ms

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×prod-exp cbrt-unprod 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 → 143
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
8.0ms
(/ (+ a b) a)
7.0ms
(/ (- a b) a)
31.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series136.0ms

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)
64.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify63.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0493951
12505870
25001867

prune332.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×*-un-lft-identity
34×times-frac
27×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×associate-*r*
7×pow1 associate-/l/ distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r* associate-/l*
4×frac-times flip3-+ associate-*l* associate-*l/ prod-exp cbrt-unprod flip-+ add-log-exp
3×sqrt-prod div-inv
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub pow-prod-down *-commutative flip-- distribute-lft-out
Counts
4 → 122
Calls
4 calls:
1.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
9.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
8.0ms
(/ (- a b) a)
22.0ms
(* (+ a b) (/ (- a b) a))

series171.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
64.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
30.0ms
(/ (- a b) a)
61.0ms
(* (+ a b) (/ (- a b) a))

simplify65.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0440815
12436731
25001729

prune293.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ a b) a)
0.1b
(* (/ (+ a b) a) (cbrt (pow (- 1 (/ b a)) 3)))
0.1b
(pow (- 1 (/ b a)) 3)
0.1b
(cbrt (pow (- 1 (/ b a)) 3))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
69×*-un-lft-identity
52×cbrt-prod
41×times-frac
31×add-cube-cbrt
26×unpow-prod-down cube-prod
25×associate-*r*
24×difference-of-squares
16×associate-*l*
12×add-exp-log
10×add-cbrt-cube unswap-sqr
8×cube-div
7×pow1 distribute-lft-out
6×cbrt-div distribute-lft-out--
5×sqr-pow
4×flip3-- flip-- associate-/l* add-log-exp
3×cube-mult pow-unpow unpow3 associate-/r*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/
1×pow-to-exp pow-pow frac-2neg flip3-+ pow1/3 pow-prod-down associate-*l/ pow-exp clear-num *-commutative rem-cbrt-cube flip-+ rem-cube-cbrt
Counts
4 → 170
Calls
4 calls:
8.0ms
(/ (+ a b) a)
82.0ms
(* (/ (+ a b) a) (cbrt (pow (- 1 (/ b a)) 3)))
15.0ms
(pow (- 1 (/ b a)) 3)
17.0ms
(cbrt (pow (- 1 (/ b a)) 3))

series128.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (+ a b) a)
56.0ms
(* (/ (+ a b) a) (cbrt (pow (- 1 (/ b a)) 3)))
30.0ms
(pow (- 1 (/ b a)) 3)
16.0ms
(cbrt (pow (- 1 (/ b a)) 3))

simplify77.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05611168
129211094
250021078

prune366.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes34.0ms

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
02314
12314

end0.0ms

sample877.0ms

Algorithm
intervals
Results
359.0ms8000×body80valid
152.0ms8000×pre80true
146.0ms7787×pre80false