Details

Time bar (total: 4.1s)

sample48.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune4.0ms

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: 10.0b

Counts
2 → 1

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.9b
(- (* (* z 2.0) z) (* y t))
19.4b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
28×prod-diff
23×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
12×add-exp-log times-frac add-cbrt-cube
8×associate-/r/
7×add-log-exp
6×flip3-- flip--
4×fma-neg div-inv
3×pow1 cbrt-undiv expm1-log1p-u div-exp prod-exp associate-/r* cbrt-unprod log1p-expm1-u
2×sub-neg diff-log
1×frac-2neg clear-num associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 89
Calls
3 calls:
9.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms
(- (* (* z 2.0) z) (* y t))
10.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series341.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
42.0ms
(- (* (* z 2.0) z) (* y t))
211.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify88.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05061970
123921402
250021401

prune222.0ms

Filtered
98 candidates to 63 candidates (64.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New90898
Fresh000
Picked101
Done000
Total91899

Merged error: 4.8b

Counts
99 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.9b
(- (* (* z 2.0) z) (* y t))
4.3b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.1b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
71×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
55×prod-diff
18×add-exp-log add-cbrt-cube
16×associate-/r*
10×div-inv
8×add-log-exp
7×cbrt-undiv div-exp
4×pow1 expm1-log1p-u fma-neg associate-/r/ log1p-expm1-u associate-/l*
3×flip3-- flip--
2×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
1×div-sub distribute-lft-out-- difference-of-squares
Counts
4 → 169
Calls
4 calls:
13.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
6.0ms
(- (* (* z 2.0) z) (* y t))
9.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series385.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
42.0ms
(- (* (* z 2.0) z) (* y t))
196.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
59.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify129.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
08363783
137442919
250022916

prune361.0ms

Filtered
181 candidates to 120 candidates (66.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1783181
Fresh437
Picked101
Done000
Total1836189

Merged error: 2.2b

Counts
189 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.3b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
6.7b
(/ (* t y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
27×prod-diff
25×add-sqr-sqrt *-un-lft-identity
23×add-cube-cbrt
15×times-frac
13×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/r*
5×flip3-- flip-- div-inv add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-neg log1p-expm1-u
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 94
Calls
3 calls:
10.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
8.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms
(/ (* t y) z)

series274.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
180.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
20.0ms
(/ (* t y) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05071752
122231227
250011226

prune183.0ms

Filtered
103 candidates to 65 candidates (63.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1003103
Fresh415
Picked101
Done000
Total1054109

Merged error: 0.2b

Counts
109 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
3.4b
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
4.3b
(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* div-inv
2×pow1/3 associate-/r/
1×frac-times flip3-- frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-- associate-/l*
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
6.0ms
(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

series654.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt z)
184.0ms
(cbrt z)
55.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
224.0ms
(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05771106
13052915
25002867

prune398.0ms

Filtered
124 candidates to 94 candidates (75.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh033
Picked011
Done000
Total1244128

Merged error: 0.2b

Counts
128 → 4

regimes81.0ms

Accuracy

0% (1.1b remaining)

Error of 1.5b against oracle of 0.4b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812
11812

end0.0ms

sample523.0ms

Algorithm
intervals
Results
317.0ms8000×body80valid

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