Details

Time bar (total: 8.4s)

sample17.0ms

Algorithm
intervals
Results
8.0ms272×body80valid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.2b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* y z) (* t z))
5.1b
(/ (* x 2.0) (- (* y z) (* t z)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
431×add-sqr-sqrt
315×*-un-lft-identity
244×associate-*r*
216×times-frac
188×associate-*l*
175×add-cube-cbrt
144×prod-diff
100×unswap-sqr
84×distribute-rgt-out--
72×*-commutative
70×distribute-lft-out--
56×difference-of-squares
18×associate-/r*
12×fma-neg associate-/l*
7×add-exp-log add-cbrt-cube
4×add-log-exp
2×pow1 cbrt-undiv expm1-log1p-u flip3-- div-exp associate-/r/ flip-- log1p-expm1-u
1×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod div-inv
Counts
2 → 449
Calls
2 calls:
16.0ms
(- (* y z) (* t z))
28.0ms
(/ (* x 2.0) (- (* y z) (* t z)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (* y z) (* t z))
64.0ms
(/ (* x 2.0) (- (* y z) (* t z)))

simplify173.0ms

Algorithm
egg-herbie
Counts
455 → 455
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
011574957
143423798
250013798

prune429.0ms

Filtered
455 candidates to 183 candidates (40.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4496455
Fresh101
Picked101
Done000
Total4516457

Merged error: 0b

Counts
457 → 6

localize8.0ms

Local error

Found 1 expressions with local error:

5.1b
(/ (* x 2.0) (fma y z (- (* z t))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
12×associate-*r* associate-*l* associate-/l*
6×add-exp-log add-cbrt-cube
4×*-commutative unswap-sqr
3×associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 67
Calls
1 calls:
7.0ms
(/ (* x 2.0) (fma y z (- (* z t))))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (* x 2.0) (fma y z (- (* z t))))

simplify52.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0276667
11185634
25002621

prune124.0ms

Filtered
70 candidates to 55 candidates (78.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh055
Picked011
Done000
Total70676

Merged error: 0b

Counts
76 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 z) (- y t))
5.1b
(* (* x 2.0) (/ (/ 1 z) (- y t)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
248×times-frac
208×add-sqr-sqrt
182×*-un-lft-identity
122×add-cube-cbrt
74×associate-*r*
46×add-exp-log
35×associate-/l*
30×associate-*r/
28×add-cbrt-cube distribute-lft-out-- difference-of-squares
21×associate-/l/
18×div-exp
16×associate-/r*
15×associate-*l* prod-exp div-inv
13×unswap-sqr
9×cbrt-undiv cbrt-unprod
7×pow1
6×clear-num un-div-inv
4×frac-2neg associate-/r/
3×rec-exp 1-exp pow-prod-down
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
Counts
2 → 267
Calls
2 calls:
9.0ms
(/ (/ 1 z) (- y t))
38.0ms
(* (* x 2.0) (/ (/ 1 z) (- y t)))

series77.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (/ 1 z) (- y t))
51.0ms
(* (* x 2.0) (/ (/ 1 z) (- y t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
010311920
150011725

prune382.0ms

Filtered
273 candidates to 163 candidates (59.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2721273
Fresh134
Picked011
Done011
Total2736279

Merged error: 0b

Counts
279 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x 2.0))
0.6b
(cbrt (* x 2.0))
0.6b
(cbrt (* x 2.0))
4.4b
(* (/ (* (cbrt (* x 2.0)) (cbrt (* x 2.0))) z) (/ (cbrt (* x 2.0)) (- y t)))

rewrite488.0ms

Algorithm
rewrite-expression-head
Rules
2736×cbrt-prod
2485×associate-/l*
2440×add-sqr-sqrt
1541×frac-times
1209×*-un-lft-identity
1198×associate-*l*
1038×associate-*r*
934×add-cube-cbrt
737×unswap-sqr
471×swap-sqr
412×associate-/r*
366×times-frac
216×*-commutative
93×clear-num
92×frac-2neg
83×distribute-lft-out-- difference-of-squares
67×associate-*l/
61×add-cbrt-cube
30×cbrt-unprod
27×cbrt-undiv
25×add-exp-log
23×associate-*r/
8×prod-exp
7×div-exp
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×associate-/r/ un-div-inv div-inv
1×flip3-- pow-prod-down flip--
Counts
4 → 2066
Calls
4 calls:
3.0ms
(cbrt (* x 2.0))
3.0ms
(cbrt (* x 2.0))
3.0ms
(cbrt (* x 2.0))
241.0ms
(* (/ (* (cbrt (* x 2.0)) (cbrt (* x 2.0))) z) (/ (cbrt (* x 2.0)) (- y t)))

series792.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt (* x 2.0))
222.0ms
(cbrt (* x 2.0))
215.0ms
(cbrt (* x 2.0))
134.0ms
(* (/ (* (cbrt (* x 2.0)) (cbrt (* x 2.0))) z) (/ (cbrt (* x 2.0)) (- y t)))

simplify395.0ms

Algorithm
egg-herbie
Counts
2078 → 2078
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
0500136128

prune4.3s

Filtered
2078 candidates to 1289 candidates (62.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New207802078
Fresh033
Picked011
Done022
Total207862084

Merged error: 0b

Counts
2084 → 6

regimes226.0ms

Accuracy

36.2% (3.7b remaining)

Error of 3.7b against oracle of 0.0b and baseline of 5.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12615

end0.0ms

sample467.0ms

Algorithm
intervals
Results
261.0ms8690×body80valid