Details

Time bar (total: 7.0s)

sample25.0ms

Algorithm
intervals
Results
11.0ms274×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: 23.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z (- t a)))
0.0b
(* z (- t a))
0.0b
(* z (- b y))
22.9b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite27.0ms

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:
4.0ms
(+ (* x y) (* z (- t a)))
6.0ms
(* z (- t a))
6.0ms
(* z (- b y))
7.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series422.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* x y) (* z (- t a)))
33.0ms
(* z (- t a))
38.0ms
(* z (- b y))
308.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0401714
11759659
25001659

prune295.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.4b
(/ 1 (/ (+ y (* z (- b y))) (+ (* 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
68×add-sqr-sqrt
64×*-un-lft-identity
60×add-cube-cbrt
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
10×associate-*r*
9×pow1
8×div-exp
6×flip3-+ associate-*l* flip-+ div-inv associate-/l*
4×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in associate-*r/ add-log-exp
2×rec-exp flip3-- frac-2neg 1-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×pow-flip inv-pow
Counts
4 → 167
Calls
4 calls:
6.0ms
(* z (- t a))
6.0ms
(* z (- b y))
9.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
7.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.1s

Counts
4 → 12
Calls
4 calls:
38.0ms
(* z (- t a))
33.0ms
(* z (- b y))
781.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
262.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify77.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06352045
131191873
250031785

prune375.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.4b
(/ 1 (+ y (* z (- b y))))
22.6b
(* (/ 1 (+ y (* z (- b y)))) (+ (* x y) (* z (- t a))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
29×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*l*
20×times-frac
15×add-cbrt-cube
13×associate-*r*
11×pow1
6×associate-*r/ prod-exp
5×distribute-rgt-in distribute-lft-in unswap-sqr
4×sub-neg flip3-+ div-exp associate-/r/ cbrt-unprod flip-+ add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp flip3-- 1-exp flip-- div-inv distribute-lft-out-- difference-of-squares
1×pow-flip frac-2neg associate-*l/ clear-num inv-pow
Counts
4 → 128
Calls
4 calls:
6.0ms
(* z (- t a))
6.0ms
(* z (- b y))
4.0ms
(/ 1 (+ y (* z (- b y))))
11.0ms
(* (/ 1 (+ y (* z (- b y)))) (+ (* x y) (* z (- t a))))

series944.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* z (- t a))
33.0ms
(* z (- b y))
80.0ms
(/ 1 (+ y (* z (- b y))))
794.0ms
(* (/ 1 (+ y (* z (- b y)))) (+ (* x y) (* z (- t a))))

simplify77.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0616961
13554857
25001831

prune322.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.4b
(/ 1 (+ y (* z (- b y))))
0.5b
(/ 1 (+ (* x y) (* z (- t a))))
22.4b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
250×add-sqr-sqrt
248×*-un-lft-identity
246×add-cube-cbrt
69×associate-/r/
54×add-exp-log
36×div-exp
35×div-inv
34×flip3-+ flip-+
22×add-cbrt-cube
21×associate-/r* associate-/l*
10×cbrt-undiv rec-exp 1-exp
8×pow1
5×associate-*r*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in associate-*r/ inv-pow
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 379
Calls
4 calls:
6.0ms
(* z (- b y))
4.0ms
(/ 1 (+ y (* z (- b y))))
5.0ms
(/ 1 (+ (* x y) (* z (- t a))))
16.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
34.0ms
(* z (- b y))
79.0ms
(/ 1 (+ y (* z (- b y))))
54.0ms
(/ 1 (+ (* x y) (* z (- t a))))
980.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify97.0ms

Algorithm
egg-herbie
Counts
391 → 391
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
017087158
150016603

prune763.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 23.0b

regimes377.0ms

Accuracy

0% (0.7b remaining)

Error of 23.5b against oracle of 22.7b and baseline of 23.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1239

end0.0ms

sample634.0ms

Algorithm
intervals
Results
343.0ms8416×body80valid