Details

Time bar (total: 3.7s)

sample31.0ms

Algorithm
intervals
Results
19.0ms275×body80valid

simplify49.0ms

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: 12.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
12.8b
(/ (* y (- z t)) (- a t))

rewrite21.0ms

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:
9.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- a t))

series105.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (- z t))
68.0ms
(/ (* y (- z t)) (- a t))

simplify39.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0264276
11211239
25001239

prune130.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.3b
(/ y (/ (- a t) (- z t)))

rewrite39.0ms

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:
10.0ms
(/ (- a t) (- z t))
17.0ms
(/ y (/ (- a t) (- z t)))

series195.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- a t) (- z t))
148.0ms
(/ y (/ (- a t) (- z t)))

simplify75.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06331784
128621733
250011730

prune457.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.0b
(* 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:
13.0ms
(/ (- z t) (- a t))
23.0ms
(* y (/ (- z t) (- a t)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- z t) (- a t))
61.0ms
(* y (/ (- z t) (- a t)))

simplify43.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune237.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.3b
(/ y (* (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- a t)) (cbrt (- z t)))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
31×add-cbrt-cube
24×cbrt-undiv div-exp
18×prod-exp cbrt-unprod
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt
6×cbrt-div
4×pow1 add-log-exp
3×flip3-- times-frac pow1/3 associate-/r/ flip-- associate-/l* distribute-lft-out-- difference-of-squares
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r* div-inv
Counts
4 → 87
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
60.0ms
(/ y (* (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- a t)) (cbrt (- z t)))))

series609.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- z t))
153.0ms
(cbrt (- z t))
146.0ms
(cbrt (- z t))
158.0ms
(/ y (* (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- a t)) (cbrt (- z t)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05641377
12509996
25001819

prune306.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample890.0ms

Algorithm
intervals
Results
616.0ms8725×body80valid
1.0ms2×body1280valid