Details

Time bar (total: 6.3s)

sample50.0ms

Algorithm
intervals
Results
35.0ms366×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1547
2927
31427
41927
52387
62557
72867
83307
94277
104557
115187
125957
138037
148077
158077

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.5b
(/ y (* z 3.0))
7.0b
(/ t (* (* z 3.0) y))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
23×add-exp-log add-cube-cbrt associate-+l+ add-cbrt-cube
21×prod-diff
15×times-frac
9×pow1 add-log-exp
7×prod-exp cbrt-unprod
6×associate-/l*
5×cbrt-undiv fma-def div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down
2×frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
42.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
7.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
7.0ms
(/ t (* (* z 3.0) y))

series164.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
21.0ms
(* (* z 3.0) y)
21.0ms
(/ y (* z 3.0))
37.0ms
(/ t (* (* z 3.0) y))

simplify79.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0500905
12477746
25001698

prune383.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.5b
(/ y (* z 3.0))
3.8b
(/ (/ t (* z 3.0)) y)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×*-un-lft-identity
40×add-sqr-sqrt
38×add-cube-cbrt
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
13×associate-/l*
10×div-inv
9×cbrt-undiv div-exp add-log-exp
5×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg prod-exp clear-num cbrt-unprod
2×frac-add sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
47.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ t (* z 3.0))
3.0ms
(/ y (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series162.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
21.0ms
(/ t (* z 3.0))
22.0ms
(/ y (* z 3.0))
36.0ms
(/ (/ t (* z 3.0)) y)

simplify76.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05771093
12337935
25001887

prune466.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
0.2b
(/ t (* z 3.0))
0.3b
(* (/ y 3.0) (/ 1 z))
3.8b
(/ (/ t (* z 3.0)) y)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
54×add-sqr-sqrt
41×*-un-lft-identity
40×add-exp-log
37×add-cube-cbrt
30×add-cbrt-cube
15×div-exp
13×associate-*r* associate-*l*
11×cbrt-undiv
10×prod-exp associate-/l*
8×div-inv
6×pow1 cbrt-unprod add-log-exp unswap-sqr
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×fma-def
2×rec-exp frac-2neg 1-exp clear-num fma-udef
1×+-commutative frac-times associate-+l+ associate-+r+ flip3-+ associate-*r/ pow-prod-down associate-*l/ sum-log un-div-inv *-commutative flip-+ associate-/l/ distribute-lft-out
Counts
4 → 151
Calls
4 calls:
3.0ms
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
3.0ms
(/ t (* z 3.0))
18.0ms
(* (/ y 3.0) (/ 1 z))
6.0ms
(/ (/ t (* z 3.0)) y)

series183.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
19.0ms
(/ t (* z 3.0))
21.0ms
(* (/ y 3.0) (/ 1 z))
32.0ms
(/ (/ t (* z 3.0)) y)

simplify84.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07131089
13195948
25002928

prune599.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ t (* z 3.0))
0.3b
(/ (/ y z) (cbrt 3.0))
0.4b
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y z) (cbrt 3.0)))
3.8b
(/ (/ t (* z 3.0)) y)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
340×times-frac
213×add-sqr-sqrt
175×*-un-lft-identity
170×add-cube-cbrt
101×add-exp-log
87×cbrt-prod
82×associate-*r*
45×add-cbrt-cube
43×div-exp
32×prod-exp
25×cbrt-undiv
23×associate-/l*
22×div-inv
15×unswap-sqr
14×cbrt-unprod
10×associate-/r*
7×associate-*l*
6×pow1 rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 335
Calls
4 calls:
3.0ms
(/ t (* z 3.0))
7.0ms
(/ (/ y z) (cbrt 3.0))
61.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y z) (cbrt 3.0)))
6.0ms
(/ (/ t (* z 3.0)) y)

series230.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ t (* z 3.0))
68.0ms
(/ (/ y z) (cbrt 3.0))
99.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y z) (cbrt 3.0)))
38.0ms
(/ (/ t (* z 3.0)) y)

simplify67.0ms

Algorithm
egg-herbie
Counts
347 → 347
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
014383122
150022857

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes198.0ms

Accuracy

-2.8% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.7b

bsearch96.0ms

Steps
ItersRangePoint
6
24113395886.136368
362067446476.724
46434150027.62312
8
-2.1331725079447033e+113
-3.703039393322938e+108
-3.7755561996985703e+108

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03536
13536

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s11099×body80valid