Details

Time bar (total: 6.1s)

sample27.0ms

Algorithm
intervals
Results
15.0ms284×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0175
1325
2575
31005
41445
51775
62035
72635
83525
94455
106865
119095
129325
139325

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
11.7b
(/ (* y (- z t)) (- a t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
12.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- a t))

series103.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* y (- z t))
63.0ms
(/ (* y (- z t)) (- a t))

simplify39.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0264276
11211239
25001239

prune131.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.3b
(* y (/ (- z t) (- a t)))

rewrite41.0ms

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:
10.0ms
(/ (- z t) (- a t))
27.0ms
(* y (/ (- z t) (- a t)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z t) (- a t))
67.0ms
(* y (/ (- z t) (- a t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0349647
11396606
25001606

prune235.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.3b
(/ y (/ (- a t) (- z t)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
11.0ms
(/ (- a t) (- z t))
13.0ms
(/ y (/ (- a t) (- z t)))

series198.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- a t) (- z t))
146.0ms
(/ y (/ (- a t) (- z t)))

simplify74.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06331784
128621733
250011730

prune667.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
7.2b
(/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- a t)) (- z t)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
1471×times-frac
827×add-sqr-sqrt *-un-lft-identity
570×cbrt-div
415×cbrt-prod
409×associate-/r/
405×add-cube-cbrt
301×flip3-- flip--
211×distribute-lft-out-- difference-of-squares
188×frac-times
94×associate-*r/ associate-*l/
64×div-inv
46×associate-/r*
25×add-exp-log
18×add-cbrt-cube
15×associate-/l*
13×cbrt-undiv div-exp
4×pow1 add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 820
Calls
4 calls:
2.0ms
(cbrt (- a t))
2.0ms
(cbrt (- a t))
2.0ms
(cbrt (- a t))
41.0ms
(/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- a t)) (- z t)))

series588.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- a t))
146.0ms
(cbrt (- a t))
144.0ms
(cbrt (- a t))
152.0ms
(/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- a t)) (- z t)))

simplify211.0ms

Algorithm
egg-herbie
Counts
832 → 832
Iterations

Useful iterations: 1 (53.0ms)

IterNodesCost
0342819309
1500219171

prune2.5s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes145.0ms

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
0125
1125

end0.0ms

sample746.0ms

Algorithm
intervals
Results
473.0ms8743×body80valid
0.0ms2×body640valid
0.0ms1×body2560valid
0.0ms1×body160valid