Details

Time bar (total: 3.4s)

sample35.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
7.0ms297×pre80false
6.0ms256×pre80true

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0197
1487
21107
32847
415807
550017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
17.3b
(/ (- (* 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:
3.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
9.0ms
(/ (- (* a a) (* b b)) (* a a))

series109.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (* a a) (* b b))
18.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
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

prune162.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

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:
8.0ms
(/ (+ a b) a)
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
33.0ms
(* (/ (+ a b) a) (/ (- a b) a))
9.0ms
(/ (- a b) a)

series130.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (+ a b) a)
15.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
63.0ms
(* (/ (+ a b) a) (/ (- a b) a))
31.0ms
(/ (- a b) a)

simplify65.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0505990
12546909
25001905

prune366.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

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 b) a))
0.1b
(/ (- a b) a)

rewrite46.0ms

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×expm1-log1p-u frac-times flip3-+ associate-*l* associate-*l/ prod-exp cbrt-unprod flip-+ log1p-expm1-u 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 → 130
Calls
4 calls:
1.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
10.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
23.0ms
(* (+ a b) (/ (- a b) a))
9.0ms
(/ (- a b) a)

series171.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (/ (* (+ a b) (/ (- a b) a)) a)))
63.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
57.0ms
(* (+ a b) (/ (- a b) a))
35.0ms
(/ (- a b) a)

simplify74.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0453858
12492775
25001769

prune324.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (/ 1 (/ a (* (+ a b) (/ (- a b) a))))))
0.0b
(/ 1 (/ a (* (+ a b) (/ (- a b) a))))
0.0b
(* (+ a b) (/ (- a b) a))
0.1b
(/ (- a b) a)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
79×times-frac
66×add-sqr-sqrt
62×*-un-lft-identity
46×add-cube-cbrt
45×add-exp-log
25×add-cbrt-cube
22×div-exp
21×associate-/r/
19×associate-*r*
15×associate-/r*
10×cbrt-undiv frac-times flip3-+ associate-*l/ flip-+
8×pow1 prod-exp associate-/l*
7×div-inv distribute-lft-out-- difference-of-squares
5×associate-*r/
4×expm1-log1p-u rec-exp 1-exp associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-prod
2×frac-2neg clear-num associate-/l/ unswap-sqr
1×rem-sqrt-square flip3-- pow-flip sqrt-pow1 pow1/2 div-sub pow-prod-down *-commutative flip-- distribute-lft-out inv-pow
Counts
4 → 182
Calls
4 calls:
1.0ms
(sqrt (fabs (/ 1 (/ a (* (+ a b) (/ (- a b) a))))))
19.0ms
(/ 1 (/ a (* (+ a b) (/ (- a b) a))))
26.0ms
(* (+ a b) (/ (- a b) a))
9.0ms
(/ (- a b) a)

series171.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (fabs (/ 1 (/ a (* (+ a b) (/ (- a b) a))))))
64.0ms
(/ 1 (/ a (* (+ a b) (/ (- a b) a))))
62.0ms
(* (+ a b) (/ (- a b) a))
30.0ms
(/ (- a b) a)

simplify99.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
06601455
138011305
250011236

prune388.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes25.0ms

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
0158
1158

end0.0ms

sample944.0ms

Algorithm
intervals
Results
346.0ms8000×body80valid
190.0ms7954×pre80false
180.0ms8000×pre80true