Details

Time bar (total: 4.8s)

sample41.0ms

Algorithm
intervals
Results
29.0ms256×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize11.0ms

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))
16.7b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite57.0ms

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:
28.0ms
(- 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)))

series297.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
36.0ms
(- (* (* z 2.0) z) (* y t))
179.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify80.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05061970
123921402
250021401

prune241.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.6b

localize13.0ms

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))
5.2b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
15.3b
(/ 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)))

series366.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
41.0ms
(- (* 2.0 (pow z 2)) (* t y))
187.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
53.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04351047
12138914
25001909

prune328.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.6b

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))
5.2b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
15.3b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite35.0ms

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))
20.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
40.0ms
(- (* 2.0 (pow z 2)) (* t y))
180.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
48.0ms
(/ 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

prune358.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.6b

localize17.0ms

Local error

Found 4 expressions with local error:

14.7b
(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
15.3b
(/ z (- (* 2.0 (pow z 2)) (* t y)))
15.3b
(/ z (- (* 2.0 (pow z 2)) (* t y)))
15.3b
(/ 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)))

series475.0ms

Counts
4 → 12
Calls
4 calls:
327.0ms
(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
48.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))
49.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))
50.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03611077
11191990
25001984

prune460.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.6b

regimes200.0ms

Accuracy

2.1% (2.2b remaining)

Error of 6.6b against oracle of 4.3b and baseline of 6.6b

bsearch79.0ms

Steps
ItersRangePoint
8
3.131010255446689e-270
2.0823221738669132e-266
3.854350066454084e-267
3
-5.421001312836745e-198
-4.490230130318987e-198
-4.5484033292263474e-198

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03718
13718

end0.0ms

sample1.1s

Algorithm
intervals
Results
862.0ms8000×body80valid