Details

Time bar (total: 4.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms264×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

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: 7.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.3b
(/ x (* (- y z) (- t z)))

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

series167.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- y z) (- t z))
132.0ms
(/ x (* (- y z) (- t z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0384705
11834535
25002528

prune403.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New84791
Fresh000
Picked011
Done000
Total84892

Merged error: 0.0b

Counts
92 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.8b
(/ (/ x (- y z)) (- t z))

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:
6.0ms
(/ x (- y z))
12.0ms
(/ (/ x (- y z)) (- t z))

series152.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ x (- y z))
124.0ms
(/ (/ x (- y z)) (- t z))

simplify71.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06441751
123221707
250011707

prune379.0ms

Filtered
195 candidates to 132 candidates (67.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1932195
Fresh246
Picked011
Done011
Total1958203

Merged error: 0b

Counts
203 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.6b
(/ 1 (/ (- t z) (/ x (- y z))))
1.8b
(/ (- t z) (/ x (- y z)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
1260×times-frac
844×add-sqr-sqrt *-un-lft-identity
468×add-cube-cbrt
188×distribute-lft-out-- difference-of-squares
136×associate-/r*
60×associate-/r/
33×div-inv
31×add-exp-log
28×flip3-- flip--
19×div-exp add-cbrt-cube
11×associate-/l*
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
2×associate-/l/
1×pow-flip div-sub inv-pow
Counts
3 → 660
Calls
3 calls:
5.0ms
(/ x (- y z))
30.0ms
(/ 1 (/ (- t z) (/ x (- y z))))
13.0ms
(/ (- t z) (/ x (- y z)))

series315.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ x (- y z))
229.0ms
(/ 1 (/ (- t z) (/ x (- y z))))
56.0ms
(/ (- t z) (/ x (- y z)))

simplify133.0ms

Algorithm
egg-herbie
Counts
669 → 669
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
018737902
150017523

prune1.2s

Filtered
669 candidates to 365 candidates (54.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New6672669
Fresh235
Picked011
Done022
Total6698677

Merged error: 0b

Counts
677 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
2.9b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite41.0ms

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/ *-commutative inv-pow
Counts
3 → 156
Calls
3 calls:
6.0ms
(/ 1 (- y z))
5.0ms
(/ x (- t z))
24.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series294.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- y z))
35.0ms
(/ x (- t z))
224.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0528932
12284821
25001789

prune280.0ms

Filtered
165 candidates to 103 candidates (62.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1650165
Fresh044
Picked011
Done033
Total1658173

Merged error: 0b

Counts
173 → 8

regimes191.0ms

Accuracy

14.3% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.1b

bsearch76.0ms

Steps
ItersRangePoint
11
2.6508783292860665e-208
8.280185951283791e-182
4.212019163096675e-193
5
-3.744556309116812e-103
-1.0437655140238367e-103
-2.074458233886271e-103

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample444.0ms

Algorithm
intervals
Results
227.0ms8425×body80valid