Details

Time bar (total: 4.8s)

sample23.0ms

Algorithm
intervals
Results
10.0ms267×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 26.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(* z (- t a))
0.8b
(+ (* x y) (* z (- t a)))
25.5b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
8×pow1
6×distribute-rgt-in sub-neg distribute-lft-in associate-*l* add-log-exp
4×associate-+r+ associate-*r/
3×flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 98
Calls
4 calls:
9.0ms
(* z (- b y))
9.0ms
(* z (- t a))
3.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series410.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* z (- b y))
34.0ms
(* z (- t a))
43.0ms
(+ (* x y) (* z (- t a)))
299.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0401714
11759659
25001659

prune330.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.7b
(/ 1 (+ y (* z (- b y))))
0.8b
(+ (* x y) (* z (- t a)))
25.1b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite39.0ms

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:
9.0ms
(* z (- t a))
4.0ms
(/ 1 (+ y (* z (- b y))))
3.0ms
(+ (* x y) (* z (- t a)))
18.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series453.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* z (- t a))
77.0ms
(/ 1 (+ y (* z (- b y))))
39.0ms
(+ (* x y) (* z (- t a)))
303.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0448957
12212849
25002823

prune303.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- t a) z)
0.7b
(/ 1 (+ y (* z (- b y))))
0.8b
(+ (* x y) (* (- t a) z))
25.1b
(* (+ (* x y) (* (- t a) z)) (/ 1 (+ y (* z (- b y)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
9×pow1
8×associate-*l*
6×add-log-exp
5×flip3-+ prod-exp flip-+
4×div-exp associate-*l/ associate-/r/ unswap-sqr
3×associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down *-commutative div-inv
1×+-commutative flip3-- pow-flip frac-2neg associate-*r/ clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 108
Calls
4 calls:
10.0ms
(* (- t a) z)
4.0ms
(/ 1 (+ y (* z (- b y))))
3.0ms
(+ (* x y) (* (- t a) z))
18.0ms
(* (+ (* x y) (* (- t a) z)) (/ 1 (+ y (* z (- b y)))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (- t a) z)
79.0ms
(/ 1 (+ y (* z (- b y))))
36.0ms
(+ (* x y) (* (- t a) z))
244.0ms
(* (+ (* x y) (* (- t a) z)) (/ 1 (+ y (* z (- b y)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0439933
12113825
25003799

prune320.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 25.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- b y))
0.6b
(cbrt (- b y))
0.8b
(+ (* x y) (* z (- t a)))
25.5b
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
10×cbrt-prod
9×times-frac
6×add-exp-log add-cbrt-cube add-log-exp
4×pow1 cbrt-div associate-+r+
3×flip3-+ associate-/r* flip-+ associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in pow1/3 associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 76
Calls
4 calls:
2.0ms
(cbrt (- b y))
2.0ms
(cbrt (- b y))
3.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

series639.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- b y))
147.0ms
(cbrt (- b y))
40.0ms
(+ (* x y) (* z (- t a)))
309.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03801064
11283970
25001962

prune314.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 25.6b

regimes437.0ms

Accuracy

0% (0.7b remaining)

Error of 23.7b against oracle of 23.0b and baseline of 23.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample624.0ms

Algorithm
intervals
Results
341.0ms8442×body80valid