Details

Time bar (total: 2.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms269×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1405
2845
32005
44635
57085
612615
718545
824465
928115
1028135
1128135

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
8.2b
(/ x (* (- y z) (- y t)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
add-exp-log add-cbrt-cube
frac-times associate-/r/
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
18.0ms
(* (- y z) (- y t))
7.0ms
(/ x (* (- y z) (- y t)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- y z) (- y t))
58.0ms
(/ x (* (- y z) (- y t)))

simplify53.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0390703
11853534
25003534

prune174.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.4b
(/ (/ x (- y z)) (- y t))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
add-exp-log add-cbrt-cube
flip3-- flip-- div-inv
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 189
Calls
2 calls:
5.0ms
(/ x (- y z))
18.0ms
(/ (/ x (- y z)) (- y t))

series88.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (- y z))
55.0ms
(/ (/ x (- y z)) (- y t))

simplify62.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
06481751
123351707
250031707

prune430.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.3b
(* x (/ 1 (- y z)))
1.4b
(/ (* x (/ 1 (- y z))) (- y t))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
37×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r*
distribute-lft-out-- difference-of-squares
prod-exp
pow1 cbrt-undiv associate-/r/
cbrt-unprod associate-/l*
expm1-log1p-u rec-exp flip3-- 1-exp associate-*l* flip-- log1p-expm1-u div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ clear-num un-div-inv associate-/l/
pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 124
Calls
3 calls:
5.0ms
(/ 1 (- y z))
15.0ms
(* x (/ 1 (- y z)))
11.0ms
(/ (* x (/ 1 (- y z))) (- y t))

series128.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1 (- y z))
28.0ms
(* x (/ 1 (- y z)))
61.0ms
(/ (* x (/ 1 (- y z))) (- y t))

simplify47.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0405661
11833554
25001507

prune241.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y t) (- y z))
0.9b
(/ 1 (/ (* (- y t) (- y z)) x))
7.6b
(/ (* (- y t) (- y z)) x)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity
36×times-frac
35×add-cube-cbrt
31×add-exp-log
19×add-cbrt-cube
18×prod-diff
14×div-exp
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
10×associate-/r*
frac-times associate-/l/
cbrt-undiv
pow1 div-inv
associate-*r* associate-*l* prod-exp
associate-*r/ associate-*l/ associate-/l*
expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u add-log-exp
sub-neg frac-2neg clear-num distribute-lft-out-- difference-of-squares
pow-flip pow-prod-down associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 143
Calls
3 calls:
18.0ms
(* (- y t) (- y z))
12.0ms
(/ 1 (/ (* (- y t) (- y z)) x))
13.0ms
(/ (* (- y t) (- y z)) x)

series215.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (- y t) (- y z))
137.0ms
(/ 1 (/ (* (- y t) (- y z)) x))
48.0ms
(/ (* (- y t) (- y z)) x)

simplify87.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
06171160
13388949
25001916

prune293.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105

end0.0ms

sample445.0ms

Algorithm
intervals
Results
238.0ms8402×body80valid