Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms270×body80valid

simplify80.0ms

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: 0.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
7.5b
(/ 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:
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 (11.0ms)

IterNodesCost
0390703
11853534
25003534

prune160.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New87491
Fresh000
Picked101
Done000
Total88492

Merged error: 0.0b

Counts
92 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
0.7b
(/ (/ x (- y z)) (- y t))

rewrite30.0ms

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))
14.0ms
(/ (/ x (- y z)) (- y t))

series87.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (- y z))
56.0ms
(/ (/ x (- y z)) (- y t))

simplify64.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06481751
123351707
250031707

prune352.0ms

Filtered
195 candidates to 133 candidates (68.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1923195
Fresh123
Picked011
Done000
Total1936199

Merged error: 0b

Counts
199 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.0b
(/ 1 (- y t))
0.7b
(* (/ x (- y z)) (/ 1 (- y t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 157
Calls
3 calls:
5.0ms
(/ x (- y z))
5.0ms
(/ 1 (- y t))
22.0ms
(* (/ x (- y z)) (/ 1 (- y t)))

series121.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ x (- y z))
37.0ms
(/ 1 (- y t))
56.0ms
(* (/ x (- y z)) (/ 1 (- y t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0541934
12227819
25001777

prune250.0ms

Filtered
166 candidates to 103 candidates (62.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1651166
Fresh134
Picked011
Done011
Total1666172

Merged error: 0b

Counts
172 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
0.6b
(* (cbrt (- y t)) (cbrt (- y t)))
0.7b
(/ (/ x (- y z)) (cbrt (- y t)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
303×times-frac
257×add-sqr-sqrt
255×*-un-lft-identity
148×cbrt-prod
139×add-cube-cbrt
57×distribute-lft-out--
55×difference-of-squares
21×associate-/l*
20×associate-/r/
18×cbrt-div flip3-- flip--
11×pow1 add-exp-log
10×swap-sqr div-inv
8×pow1/3 associate-*r* associate-*l* associate-/r*
7×add-cbrt-cube
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv div-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus prod-exp clear-num *-commutative cbrt-unprod associate-/l/
Counts
4 → 308
Calls
4 calls:
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
11.0ms
(* (cbrt (- y t)) (cbrt (- y t)))
14.0ms
(/ (/ x (- y z)) (cbrt (- y t)))

series532.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- y t))
146.0ms
(cbrt (- y t))
117.0ms
(* (cbrt (- y t)) (cbrt (- y t)))
123.0ms
(/ (/ x (- y z)) (cbrt (- y t)))

simplify110.0ms

Algorithm
egg-herbie
Counts
320 → 320
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
09483478
140273397
250013265

prune719.0ms

Filtered
320 candidates to 210 candidates (65.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3200320
Fresh033
Picked011
Done022
Total3206326

Merged error: 0b

Counts
326 → 6

regimes100.0ms

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

sample452.0ms

Algorithm
intervals
Results
243.0ms8457×body80valid