Details

Time bar (total: 6.1s)

sample29.0ms

Algorithm
intervals
Results
12.0ms272×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.5b
(+ (* x y) (* z (- t a)))
19.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite84.0ms

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:
20.0ms
(* z (- t a))
19.0ms
(* z (- b y))
11.0ms
(+ (* x y) (* z (- t a)))
32.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series452.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* z (- t a))
38.0ms
(* z (- b y))
44.0ms
(+ (* x y) (* z (- t a)))
330.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0401714
11759659
25001659

prune298.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 19.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.5b
(+ (* x y) (* z (- t a)))
0.6b
(/ 1 (+ y (* z (- b y))))
19.1b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite82.0ms

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:
19.0ms
(* z (- b y))
9.0ms
(+ (* x y) (* z (- t a)))
12.0ms
(/ 1 (+ y (* z (- b y))))
38.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series501.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* z (- b y))
48.0ms
(+ (* x y) (* z (- t a)))
82.0ms
(/ 1 (+ y (* z (- b y))))
335.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0449957
12234849
25001823

prune360.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 19.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.3b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.5b
(+ (* x y) (* z (- t a)))
19.3b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×associate-*r*
4×cbrt-undiv distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
1×+-commutative flip3-- pow-flip pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
20.0ms
(* z (- b y))
21.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
12.0ms
(+ (* x y) (* z (- t a)))
28.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.2s

Counts
4 → 12
Calls
4 calls:
35.0ms
(* z (- b y))
803.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
48.0ms
(+ (* x y) (* z (- t a)))
286.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify73.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05762059
127901881
250011793

prune361.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 19.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t a))
0.5b
(cbrt (- t a))
0.5b
(cbrt (- t a))
19.3b
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity
15×cbrt-prod add-cube-cbrt
9×times-frac
6×add-exp-log cbrt-div add-cbrt-cube
4×pow1 add-log-exp
3×flip3-- pow1/3 associate-/r* flip-- associate-/l* distribute-lft-out-- difference-of-squares
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 76
Calls
4 calls:
4.0ms
(cbrt (- t a))
6.0ms
(cbrt (- t a))
4.0ms
(cbrt (- t a))
33.0ms
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

series784.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (- t a))
146.0ms
(cbrt (- t a))
152.0ms
(cbrt (- t a))
327.0ms
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03431057
11149975
25001964

prune326.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 19.3b

regimes444.0ms

Accuracy

0% (0.7b remaining)

Error of 23.4b against oracle of 22.6b and baseline of 23.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample708.0ms

Algorithm
intervals
Results
319.0ms8420×body80valid