Details

Time bar (total: 4.6s)

sample29.0ms

Algorithm
intervals
Results
19.0ms279×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
5.7b
(/ x (* (- y z) (- y t)))

rewrite35.0ms

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
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×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
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
23.0ms
(* (- y z) (- y t))
8.0ms
(/ x (* (- y z) (- y t)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- y z) (- y t))
66.0ms
(/ x (* (- y z) (- y t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0390703
11853534
25003534

prune198.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.3b
(/ 1 (/ (* (- y z) (- y t)) x))
5.7b
(/ (* (- y z) (- y t)) x)

rewrite58.0ms

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*
8×frac-times associate-/l/
7×cbrt-undiv
6×pow1 div-inv
5×associate-*r* associate-*l* prod-exp
4×associate-*r/ associate-*l/ associate-/l*
3×expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg frac-2neg clear-num distribute-lft-out-- difference-of-squares
1×pow-flip pow-prod-down associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 143
Calls
3 calls:
21.0ms
(* (- y z) (- y t))
13.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
18.0ms
(/ (* (- y z) (- y t)) x)

series199.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* (- y z) (- y t))
126.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
48.0ms
(/ (* (- y z) (- y t)) x)

simplify84.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06171160
13382930
25001893

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y z))
1.6b
(/ (/ 1 (- y z)) (/ (- y t) x))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
1044×times-frac
650×add-sqr-sqrt *-un-lft-identity
390×add-cube-cbrt
130×distribute-lft-out-- difference-of-squares
44×div-inv
43×associate-/r/
28×add-exp-log
24×associate-/r* associate-/l*
21×flip3-- flip--
18×div-exp
16×add-cbrt-cube
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 508
Calls
2 calls:
6.0ms
(/ 1 (- y z))
28.0ms
(/ (/ 1 (- y z)) (/ (- y t) x))

series182.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ 1 (- y z))
150.0ms
(/ (/ 1 (- y z)) (/ (- y t) x))

simplify94.0ms

Algorithm
egg-herbie
Counts
514 → 514
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
020896782
150016477

prune931.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
5.7b
(/ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (- y t))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
168×cbrt-div
136×frac-times
111×flip3-- flip--
80×associate-/r/
44×associate-*r/ associate-*l/
22×add-exp-log
16×add-cbrt-cube
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt
8×prod-exp cbrt-unprod
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/l* distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 160
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
59.0ms
(/ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (- y t))))

series495.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- y z))
142.0ms
(cbrt (- y z))
147.0ms
(cbrt (- y z))
64.0ms
(/ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (- y t))))

simplify74.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
09402102
132081932
250011891

prune588.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample817.0ms

Algorithm
intervals
Results
590.0ms8488×body80valid