Details

Time bar (total: 3.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms270×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
5.6b
(/ x (* (- y z) (- y t)))

rewrite22.0ms

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:
10.0ms
(* (- y z) (- y t))
9.0ms
(/ x (* (- y z) (- y t)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- y z) (- y t))
55.0ms
(/ x (* (- y z) (- y t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0390703
11853534
25003534

prune165.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New87491
Fresh000
Picked011
Done000
Total87592

Merged error: 0b

Counts
92 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.5b
(/ (/ x (- y z)) (- y t))

rewrite28.0ms

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*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
5.0ms
(/ x (- y z))
13.0ms
(/ (/ x (- y z)) (- y t))

series84.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06481751
123351707
250031707

prune336.0ms

Filtered
195 candidates to 132 candidates (67.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1941195
Fresh123
Picked011
Done011
Total1955200

Merged error: 0b

Counts
200 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.9b
(/ 1 (/ (* (- y z) (- y t)) x))
5.3b
(/ (* (- y z) (- y t)) x)

rewrite52.0ms

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))
9.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
11.0ms
(/ (* (- y z) (- y t)) x)

series212.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* (- y z) (- y t))
125.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
60.0ms
(/ (* (- y z) (- y t)) x)

simplify114.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
06171160
13382930
25001893

prune202.0ms

Filtered
152 candidates to 85 candidates (55.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1520152
Fresh022
Picked011
Done022
Total1525157

Merged error: 0b

Counts
157 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(/ (/ 1 (- y z)) (- y t))
5.3b
(* x (/ (/ 1 (- y z)) (- y t)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
395×times-frac
329×add-sqr-sqrt
318×*-un-lft-identity
157×add-cube-cbrt
111×associate-*r*
80×distribute-lft-out-- difference-of-squares
31×add-exp-log
28×associate-/r/
24×associate-/l*
19×add-cbrt-cube
14×flip3-- div-exp flip-- div-inv
10×associate-/r*
7×cbrt-undiv
6×pow1
5×prod-exp
4×unswap-sqr
3×expm1-log1p-u rec-exp 1-exp associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 333
Calls
3 calls:
9.0ms
(/ 1 (- y z))
16.0ms
(/ (/ 1 (- y z)) (- y t))
31.0ms
(* x (/ (/ 1 (- y z)) (- y t)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- y z))
78.0ms
(/ (/ 1 (- y z)) (- y t))
54.0ms
(* x (/ (/ 1 (- y z)) (- y t)))

simplify102.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
09442776
143262534
250012298

prune457.0ms

Filtered
342 candidates to 173 candidates (50.6%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3420342
Fresh011
Picked011
Done033
Total3425347

Merged error: 0b

Counts
347 → 5

regimes160.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105

end0.0ms

sample521.0ms

Algorithm
intervals
Results
301.0ms8440×body80valid