Details

Time bar (total: 6.7s)

sample39.0ms

Algorithm
intervals
Results
25.0ms269×body80valid

simplify123.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- b y))
0.3b
(+ (* x y) (* z (- t a)))
24.4b
(/ (+ (* 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 (- b y))
3.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series438.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ y (* z (- b y)))
35.0ms
(* z (- b y))
38.0ms
(+ (* x y) (* z (- t a)))
339.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify47.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0353708
11481648
25001648

prune273.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 24.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.3b
(+ (* x y) (* z (- t a)))
0.3b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
24.4b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite32.0ms

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)))
3.0ms
(+ (* x y) (* z (- t a)))
10.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
11.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.1s

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ y (* z (- b y)))
38.0ms
(+ (* x y) (* z (- t a)))
743.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
256.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify71.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05252048
123731870
250021782

prune340.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 24.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.3b
(+ (* x y) (* z (- t a)))
0.7b
(/ 1 (+ y (* z (- b y))))
24.0b
(* (/ 1 (+ y (* z (- b y)))) (+ (* x y) (* z (- t a))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*l*
11×add-cbrt-cube
8×associate-+r+ add-log-exp
7×pow1
6×flip3-+ flip-+
5×distribute-rgt-in distribute-lft-in
4×sub-neg div-exp prod-exp associate-/r/
3×associate-*r* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv +-commutative frac-times rec-exp 1-exp associate-*r/ sum-log cbrt-unprod div-inv
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 106
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
3.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ 1 (+ y (* z (- b y))))
18.0ms
(* (/ 1 (+ y (* z (- b y)))) (+ (* x y) (* z (- t a))))

series916.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (* z (- b y)))
57.0ms
(+ (* x y) (* z (- t a)))
86.0ms
(/ 1 (+ y (* z (- b y))))
746.0ms
(* (/ 1 (+ y (* z (- b y)))) (+ (* x y) (* z (- t a))))

simplify68.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0495969
12585854
25001834

prune296.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 24.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x y) (* z (- t a)))
0.3b
(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
0.9b
(/ 1 (+ (* x y) (* z (- t a))))
23.6b
(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
29×add-sqr-sqrt
23×*-un-lft-identity times-frac
22×add-cube-cbrt
20×div-exp add-cbrt-cube
16×prod-exp
15×associate-*r*
10×pow1 rec-exp 1-exp associate-/r/
7×flip3-+ flip-+
6×cbrt-undiv associate-/l* add-log-exp
4×frac-times associate-+r+ associate-*l/ associate-/r* cbrt-unprod
3×pow-flip associate-*l* div-inv unswap-sqr
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
1×+-commutative sum-log *-commutative
Counts
4 → 134
Calls
4 calls:
3.0ms
(+ (* x y) (* z (- t a)))
14.0ms
(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
5.0ms
(/ 1 (+ (* x y) (* z (- t a))))
18.0ms
(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ (* x y) (* z (- t a)))
778.0ms
(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
53.0ms
(/ 1 (+ (* x y) (* z (- t a))))
253.0ms
(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04991409
124011189
250011150

prune287.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 24.6b

regimes338.0ms

Accuracy

0% (0.6b remaining)

Error of 23.5b against oracle of 22.9b and baseline of 23.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample1.0s

Algorithm
intervals
Results
708.0ms8401×body80valid