Details

Time bar (total: 7.4s)

sample36.0ms

Algorithm
intervals
Results
22.0ms271×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1378
2658
3948
41088
51328
62018
73598
88258
932128
1050018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- t a))
0.5b
(+ (* x y) (* z (- t a)))
26.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-exp-log associate-+r+ add-cbrt-cube add-log-exp
6×pow1 distribute-rgt-in sub-neg distribute-lft-in
5×associate-*r*
4×flip3-+ flip-+
3×associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
10.0ms
(* z (- t a))
6.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series605.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (* z (- b y)))
34.0ms
(* z (- t a))
46.0ms
(+ (* x y) (* z (- t a)))
497.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify54.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0359708
11499648
25001648

prune291.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 26.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.5b
(+ (* x y) (* z (- t a)))
0.9b
(/ 1 (+ y (* z (- b y))))
25.6b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-- pow-flip frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 116
Calls
4 calls:
10.0ms
(* z (- t a))
3.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ 1 (+ y (* z (- b y))))
19.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series468.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* z (- t a))
45.0ms
(+ (* x y) (* z (- t a)))
81.0ms
(/ 1 (+ y (* z (- b y))))
308.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0448957
12212849
25002823

prune319.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 26.4b

localize16.0ms

Local error

Found 4 expressions with local error:

11.1b
(/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a)))))
20.4b
(cbrt (+ (* x y) (* z (- t a))))
20.4b
(cbrt (+ (* x y) (* z (- t a))))
20.4b
(cbrt (+ (* x y) (* z (- t a))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/r*
5×flip3-+ add-cbrt-cube flip-+
4×pow1 add-log-exp
3×pow1/3 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 82
Calls
4 calls:
11.0ms
(/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a)))))
2.0ms
(cbrt (+ (* x y) (* z (- t a))))
2.0ms
(cbrt (+ (* x y) (* z (- t a))))
2.0ms
(cbrt (+ (* x y) (* z (- t a))))

series879.0ms

Counts
4 → 12
Calls
4 calls:
427.0ms
(/ (+ y (* z (- b y))) (cbrt (+ (* x y) (* z (- t a)))))
150.0ms
(cbrt (+ (* x y) (* z (- t a))))
152.0ms
(cbrt (+ (* x y) (* z (- t a))))
149.0ms
(cbrt (+ (* x y) (* z (- t a))))

simplify108.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
03991234
111751165
241511128
350011114

prune363.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 26.4b

localize18.0ms

Local error

Found 4 expressions with local error:

15.8b
(cbrt (+ y (* z (- b y))))
15.8b
(cbrt (+ y (* z (- b y))))
15.8b
(cbrt (+ y (* z (- b y))))
18.0b
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
2.0ms
(cbrt (+ y (* z (- b y))))
1.0ms
(cbrt (+ y (* z (- b y))))
2.0ms
(cbrt (+ y (* z (- b y))))
18.0ms
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

series2.0s

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt (+ y (* z (- b y))))
257.0ms
(cbrt (+ y (* z (- b y))))
240.0ms
(cbrt (+ y (* z (- b y))))
1.3s
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

simplify50.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04301194
112841085
250021042

prune374.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 26.4b

regimes502.0ms

Accuracy

0% (0.6b remaining)

Error of 23.2b against oracle of 22.6b and baseline of 23.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample999.0ms

Algorithm
intervals
Results
707.0ms8422×body80valid