Details

Time bar (total: 4.0s)

sample20.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify52.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:
14.0ms
(/ (- z t) (- a t))
25.0ms
(* y (/ (- z t) (- a t)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z t) (- a t))
63.0ms
(* y (/ (- z t) (- a t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune245.0ms

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))))

rewrite178.0ms

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:
7.0ms
(/ z (- a t))
5.0ms
(/ t (- a t))
161.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

series144.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ z (- a t))
41.0ms
(/ t (- a t))
75.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

simplify48.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0392643
11535606
25002606

prune286.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite202.0ms

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-*l*
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-*l/ div-inv
3×distribute-rgt-out-- associate-*r* add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
3 → 111
Calls
3 calls:
6.0ms
(/ z (- a t))
6.0ms
(/ t (- a t))
185.0ms
(* (- (/ z (- a t)) (/ t (- a t))) y)

series210.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ z (- a t))
46.0ms
(/ t (- a t))
136.0ms
(* (- (/ z (- a t)) (/ t (- a t))) y)

simplify103.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0351671
11161636
24240634
35001634

prune289.0ms

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))))

rewrite313.0ms

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)
0.0ms
(cbrt y)
141.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (- (/ z (- a t)) (/ t (- a t)))))
168.0ms
(* (cbrt y) (- (/ z (- a t)) (/ t (- a t))))

series640.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt y)
183.0ms
(cbrt y)
102.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (- (/ z (- a t)) (/ t (- a t)))))
171.0ms
(* (cbrt y) (- (/ z (- a t)) (/ t (- a t))))

simplify65.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0410972
11962770
25001697

prune286.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes137.0ms

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
0137
1137

end0.0ms

sample504.0ms

Algorithm
intervals
Results
259.0ms8725×body80valid
0.0ms2×body1280valid