Details

Time bar (total: 6.7s)

sample61.0ms

Algorithm
intervals
Results
39.0ms267×body80valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- t a))
0.9b
(+ (* x y) (* z (- t a)))
22.7b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite28.0ms

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)))
9.0ms
(* z (- t a))
3.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series404.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (* z (- b y)))
35.0ms
(* z (- t a))
39.0ms
(+ (* x y) (* z (- t a)))
299.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0359708
11499648
25001648

prune294.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 22.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.4b
(/ 1 (+ y (* z (- b y))))
0.9b
(+ (* x y) (* z (- t a)))
22.5b
(* (+ (* x y) (* z (- t a))) (/ 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 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)))))

series454.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* z (- t a))
78.0ms
(/ 1 (+ y (* z (- b y))))
40.0ms
(+ (* x y) (* z (- t a)))
302.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0448957
12212849
25002823

prune302.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 22.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.2b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.9b
(+ (* x y) (* z (- t a)))
22.7b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×associate-+r+ flip3-+ div-exp flip-+ add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in
2×+-commutative rec-exp frac-2neg 1-exp clear-num sum-log associate-/l/
1×pow-flip inv-pow
Counts
4 → 145
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
12.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
3.0ms
(+ (* x y) (* z (- t a)))
10.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.1s

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ y (* z (- b y)))
766.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
39.0ms
(+ (* x y) (* z (- t a)))
251.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify65.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05252048
123731870
250021782

prune344.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 22.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (+ y (* z (- b y))))
0.5b
(/ 1 (+ (* x y) (* z (- t a))))
0.9b
(+ (* x y) (* z (- t a)))
22.2b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-+ flip-+ div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
4×associate-+r+
3×frac-2neg clear-num
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in inv-pow
1×+-commutative sum-log associate-/l/
Counts
4 → 368
Calls
4 calls:
4.0ms
(/ 1 (+ y (* z (- b y))))
5.0ms
(/ 1 (+ (* x y) (* z (- t a))))
3.0ms
(+ (* x y) (* z (- t a)))
19.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series986.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(/ 1 (+ y (* z (- b y))))
59.0ms
(/ 1 (+ (* x y) (* z (- t a))))
40.0ms
(+ (* x y) (* z (- t a)))
803.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify101.0ms

Algorithm
egg-herbie
Counts
380 → 380
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
016477172
150016611

prune818.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 22.9b

regimes340.0ms

Accuracy

0% (0.7b remaining)

Error of 23.6b against oracle of 22.9b and baseline of 23.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample1.0s

Algorithm
intervals
Results
728.0ms8443×body80valid