Details

Time bar (total: 4.5s)

sample28.0ms

Algorithm
intervals
Results
14.0ms341×body80valid

simplify59.0ms

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: 4.2b

localize10.0ms

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)
0.3b
(/ y (* z 3.0))
6.5b
(/ t (* (* z 3.0) y))

rewrite34.0ms

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:
14.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
5.0ms
(* (* z 3.0) y)
4.0ms
(/ y (* z 3.0))
6.0ms
(/ t (* (* z 3.0) y))

series171.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
22.0ms
(* (* z 3.0) y)
21.0ms
(/ y (* z 3.0))
38.0ms
(/ t (* (* z 3.0) y))

simplify80.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0500905
12477746
25001698

prune389.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))
0.3b
(/ y (* z 3.0))
5.0b
(/ (/ t (* z 3.0)) y)

rewrite43.0ms

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:
18.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
9.0ms
(/ t (* z 3.0))
5.0ms
(/ y (* z 3.0))
7.0ms
(/ (/ t (* z 3.0)) y)

series164.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
27.0ms
(/ t (* z 3.0))
21.0ms
(/ y (* z 3.0))
33.0ms
(/ (/ t (* z 3.0)) y)

simplify78.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05771093
12337935
25001887

prune485.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.3b
(* (/ 1 z) (/ y 3.0))
5.0b
(/ (/ t (* z 3.0)) y)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
55×add-sqr-sqrt
42×*-un-lft-identity
40×add-exp-log
38×add-cube-cbrt
30×add-cbrt-cube
15×div-exp
13×associate-*r* associate-*l*
11×cbrt-undiv
10×prod-exp associate-/l*
9×add-log-exp
8×div-inv
6×pow1 cbrt-unprod unswap-sqr
5×associate-+l+
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×fma-def prod-diff
2×rec-exp frac-2neg 1-exp frac-add clear-num sum-log
1×+-commutative frac-times associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+ associate-/l/ distribute-lft-out
Counts
4 → 157
Calls
4 calls:
11.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
5.0ms
(/ t (* z 3.0))
11.0ms
(* (/ 1 z) (/ y 3.0))
7.0ms
(/ (/ t (* z 3.0)) y)

series389.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
21.0ms
(/ t (* z 3.0))
237.0ms
(* (/ 1 z) (/ y 3.0))
33.0ms
(/ (/ t (* z 3.0)) y)

simplify92.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07641026
13548908
25001889

prune497.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (/ y 3.0) z))) (/ (/ t (* z 3.0)) y))
0.2b
(/ (/ y 3.0) z)
0.2b
(/ t (* z 3.0))
5.0b
(/ (/ t (* z 3.0)) y)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
68×*-un-lft-identity
66×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube associate-/l*
11×div-inv
10×cbrt-undiv div-exp
9×add-log-exp
7×associate-/r*
5×associate-+l+
4×pow1 expm1-log1p-u log1p-expm1-u
3×fma-def frac-2neg prod-diff clear-num
2×frac-add prod-exp sum-log cbrt-unprod associate-/l/
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ distribute-lft-out
Counts
4 → 171
Calls
4 calls:
12.0ms
(+ (- x (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (/ y 3.0) z))) (/ (/ t (* z 3.0)) y))
7.0ms
(/ (/ y 3.0) z)
5.0ms
(/ t (* z 3.0))
7.0ms
(/ (/ t (* z 3.0)) y)

series172.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(+ (- x (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (/ y 3.0) z))) (/ (/ t (* z 3.0)) y))
22.0ms
(/ (/ y 3.0) z)
26.0ms
(/ t (* z 3.0))
33.0ms
(/ (/ t (* z 3.0)) y)

simplify87.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07831346
132411235
250011214

prune670.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

1.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.7b

bsearch24.0ms

Steps
ItersRangePoint
3
1.5059055193961565e-152
1.8183662075061712e-152
1.7988374144992952e-152

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03525
13525

end0.0ms

sample692.0ms

Algorithm
intervals
Results
401.0ms11139×body80valid