Details

Time bar (total: 4.8s)

sample35.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.4b
(- (* (* z 2.0) z) (* y t))
19.9b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite56.0ms

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:
29.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms
(- (* (* z 2.0) z) (* y t))
17.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series318.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
41.0ms
(- (* (* z 2.0) z) (* y t))
190.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify91.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
05061970
123921402
250021401

prune230.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.4b
(- (* 2.0 (pow z 2)) (* t y))
6.0b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
18.9b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-exp-log times-frac add-cbrt-cube
15×associate-*r*
9×pow1
8×add-log-exp
6×prod-exp cbrt-unprod
4×expm1-log1p-u flip3-- fma-neg prod-diff associate-/r/ flip-- log1p-expm1-u
3×cbrt-undiv div-exp pow-prod-down associate-/r* associate-/l*
2×sub-neg diff-log div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 104
Calls
4 calls:
2.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
4.0ms
(- (* 2.0 (pow z 2)) (* t y))
17.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series370.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
40.0ms
(- (* 2.0 (pow z 2)) (* t y))
192.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
54.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04351047
12138914
25001909

prune315.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.2b

localize17.0ms

Local error

Found 4 expressions with local error:

13.9b
(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
18.9b
(/ z (- (* 2.0 (pow z 2)) (* t y)))
18.9b
(/ z (- (* 2.0 (pow z 2)) (* t y)))
18.9b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
6×associate-/r/
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×cbrt-prod cbrt-div pow1/3 associate-*r/
Counts
4 → 105
Calls
4 calls:
9.0ms
(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series496.0ms

Counts
4 → 12
Calls
4 calls:
341.0ms
(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
52.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))
49.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))
53.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03611077
11191990
25001984

prune490.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.2b

localize25.0ms

Local error

Found 4 expressions with local error:

25.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
25.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
25.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
25.3b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series515.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
128.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
125.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
132.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify67.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0180716
1539672
22091664
35001644

prune390.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.2b

regimes184.0ms

Accuracy

0% (2.1b remaining)

Error of 6.8b against oracle of 4.8b and baseline of 6.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample932.0ms

Algorithm
intervals
Results
711.0ms8000×body80valid