Details

Time bar (total: 5.1s)

sample31.0ms

Algorithm
intervals
Results
19.0ms275×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0205
1345
2555
3935
41495
51845
62025
72295
82805
93725
104655
117685
128765
138785
148785

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.0b
(* y (/ (- z t) (- a t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
11.0ms
(/ (- z t) (- a t))
27.0ms
(* y (/ (- z t) (- a t)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- z t) (- a t))
66.0ms
(* y (/ (- z t) (- a t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune258.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (- a t))
0.0b
(/ t (- a t))
2.0b
(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
61×add-sqr-sqrt
48×times-frac
27×add-cube-cbrt
20×distribute-lft-out--
18×associate-*r*
14×difference-of-squares
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l*
5×pow1 flip3-- flip--
4×associate-*r/ div-inv
3×distribute-rgt-out-- associate-*l* add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg frac-2neg distribute-lft-in div-exp clear-num
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
3 → 115
Calls
3 calls:
5.0ms
(/ z (- a t))
5.0ms
(/ t (- a t))
152.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

series149.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ z (- a t))
43.0ms
(/ t (- a t))
79.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

simplify50.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0392643
11535606
25002606

prune307.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z) (- (- a t)))
0.0b
(/ t (- a t))
2.0b
(* y (- (/ (- z) (- (- a t))) (/ t (- a t))))

rewrite651.0ms

Algorithm
rewrite-expression-head
Rules
217×*-un-lft-identity
195×times-frac
171×add-sqr-sqrt
123×distribute-rgt-neg-in
100×distribute-lft-neg-in
97×add-cube-cbrt
55×distribute-lft-out--
34×difference-of-squares
28×associate-*r*
26×neg-mul-1
19×associate-/r*
13×associate-/l*
9×add-exp-log add-cbrt-cube
8×associate-/r/
5×pow1 flip3-- flip--
4×distribute-neg-frac
3×associate-*r/ associate-*l* add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-rgt-out-- frac-2neg distribute-lft-in div-exp clear-num div-inv
1×neg-sub0 div-sub distribute-frac-neg pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod unswap-sqr
Counts
3 → 267
Calls
3 calls:
13.0ms
(/ (- z) (- (- a t)))
5.0ms
(/ t (- a t))
614.0ms
(* y (- (/ (- z) (- (- a t))) (/ t (- a t))))

series150.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (- z) (- (- a t)))
46.0ms
(/ t (- a t))
76.0ms
(* y (- (/ (- z) (- (- a t))) (/ t (- a t))))

simplify85.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07472053
129692006
250012002

prune676.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (- (/ z (- a t)) (/ t (- a t)))))
1.6b
(* (cbrt y) (- (/ z (- a t)) (/ t (- a t))))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
31×add-sqr-sqrt
19×associate-*r*
18×pow1 add-exp-log times-frac
12×associate-*r/ distribute-lft-out--
11×add-cube-cbrt add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg difference-of-squares
4×flip3-- associate-/r/ flip-- add-log-exp
3×distribute-rgt-out--
2×pow1/3 *-commutative frac-sub div-inv sub-div unswap-sqr
Counts
4 → 101
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
129.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (- (/ z (- a t)) (/ t (- a t)))))
150.0ms
(* (cbrt y) (- (/ z (- a t)) (/ t (- a t))))

series623.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt y)
173.0ms
(cbrt y)
103.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (- (/ z (- a t)) (/ t (- a t)))))
168.0ms
(* (cbrt y) (- (/ z (- a t)) (/ t (- a t))))

simplify66.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0410972
11962770
25001697

prune289.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179
1179

end0.0ms

sample883.0ms

Algorithm
intervals
Results
615.0ms8725×body80valid
1.0ms2×body1280valid