Details

Time bar (total: 3.2s)

sample18.0ms

Algorithm
intervals
Results
7.0ms264×body80valid

simplify87.0ms

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: 0.7b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
8.8b
(/ 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)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- y z) (- y t))
60.0ms
(/ x (* (- y z) (- y t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0390703
11853534
25003534

prune152.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New86591
Fresh000
Picked011
Done000
Total86692

Merged error: 0b

Counts
92 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
25.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

series636.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt x)
180.0ms
(cbrt x)
174.0ms
(cbrt x)
93.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- y t)))

simplify66.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05401075
12689884
25001825

prune324.0ms

Filtered
130 candidates to 100 candidates (76.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1291130
Fresh134
Picked011
Done101
Total1315136

Merged error: 0b

Counts
136 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.8b
(/ 1 (/ (* (- y z) (- y t)) x))
8.3b
(/ (* (- y z) (- y t)) x)

rewrite39.0ms

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:
10.0ms
(* (- y z) (- y t))
9.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
11.0ms
(/ (* (- y z) (- y t)) x)

series193.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (- y z) (- y t))
125.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
43.0ms
(/ (* (- y z) (- y t)) x)

simplify83.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06171160
13382930
25001893

prune211.0ms

Filtered
152 candidates to 86 candidates (56.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1520152
Fresh033
Picked011
Done011
Total1525157

Merged error: 0b

Counts
157 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.1b
(/ (/ x (- y z)) (- y t))

rewrite35.0ms

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))
20.0ms
(/ (/ 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))

simplify63.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06481751
123351707
250031707

prune340.0ms

Filtered
195 candidates to 133 candidates (68.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1950195
Fresh022
Picked011
Done022
Total1955200

Merged error: 0b

Counts
200 → 5

regimes143.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

sample461.0ms

Algorithm
intervals
Results
245.0ms8436×body80valid