Details

Time bar (total: 4.2s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.7b
(- (* (* z 2.0) z) (* y t))
19.9b
(/ (* (* 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:
29.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms
(- (* (* z 2.0) z) (* y t))
18.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series318.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
43.0ms
(- (* (* z 2.0) z) (* y t))
190.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify89.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05061970
123921402
250021401

prune455.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.7b
(- (* 2.0 (pow z 2)) (* t y))
4.3b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
19.3b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite33.0ms

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))
18.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series357.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
39.0ms
(- (* 2.0 (pow z 2)) (* t y))
182.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
51.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
04351047
12138914
25001909

prune341.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.7b
(- (* (* z 2.0) z) (* y t))
4.6b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.2b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite79.0ms

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:
32.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms
(- (* (* z 2.0) z) (* y t))
15.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series364.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
37.0ms
(- (* (* z 2.0) z) (* y t))
188.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
52.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify134.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
08363783
137442919
250022916

prune453.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
4.6b
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
5.1b
(/ (* t y) z)

rewrite33.0ms

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:
18.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
9.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
3.0ms
(/ (* t y) z)

series271.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
176.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
20.0ms
(/ (* t y) z)

simplify75.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05071752
122231227
250011226

prune224.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

regimes93.0ms

Accuracy

-13.6% (2.1b remaining)

Error of 2.6b against oracle of 0.5b and baseline of 2.4b

bsearch127.0ms

Steps
ItersRangePoint
10
1.6480282302546184e+245
1.7935496845449555e+258
1.7509518152818834e+246
10
8.734071036478518e+160
1.6074914794613563e+177
6.4129800116043025e+168

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03315
13715
23715

end0.0ms

sample509.0ms

Algorithm
intervals
Results
313.0ms8000×body80valid