Details

Time bar (total: 5.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms285×body80valid

simplify52.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- a t)))
0.0b
(* y (- z t))
8.1b
(/ (* y (- z t)) (- a t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-/r* add-log-exp
4×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/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 67
Calls
3 calls:
10.0ms
(+ x (/ (* y (- z t)) (- a t)))
9.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- a t))

series193.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(+ x (/ (* y (- z t)) (- a t)))
43.0ms
(* y (- z t))
71.0ms
(/ (* y (- z t)) (- a t))

simplify40.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0334381
11437342
25001342

prune160.0ms

Filtered
76 candidates to 52 candidates (68.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
197×*-un-lft-identity
195×add-sqr-sqrt
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 206
Calls
3 calls:
43.0ms
(+ x (/ y (/ (- a t) (- z t))))
11.0ms
(/ (- a t) (- z t))
14.0ms
(/ y (/ (- a t) (- z t)))

series315.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(+ x (/ y (/ (- a t) (- z t))))
52.0ms
(/ (- a t) (- z t))
147.0ms
(/ y (/ (- a t) (- z t)))

simplify82.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06971888
130511835
250021832

prune493.0ms

Filtered
215 candidates to 144 candidates (67.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
2.3b
(* y (/ (- z t) (- a t)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
2.0ms
(+ x (* y (/ (- z t) (- a t))))
10.0ms
(/ (- z t) (- a t))
23.0ms
(* y (/ (- z t) (- a t)))

series233.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(+ x (* y (/ (- z t) (- a t))))
52.0ms
(/ (- z t) (- a t))
102.0ms
(* y (/ (- z t) (- a t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0421747
11657704
25001704

prune271.0ms

Filtered
122 candidates to 82 candidates (67.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.8b
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt y) (/ (- a t) (cbrt (- z t)))))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
516×times-frac
370×add-sqr-sqrt *-un-lft-identity
297×cbrt-prod
281×associate-*r*
214×add-cube-cbrt
78×distribute-lft-out-- difference-of-squares
73×add-exp-log
39×prod-exp cbrt-unprod
36×cbrt-div
34×add-cbrt-cube
22×pow1
21×associate-*r/
18×flip3-- flip--
16×frac-times
15×cbrt-undiv div-exp
13×pow-prod-down associate-/r/
12×associate-*l/
7×div-inv
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 375
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
200.0ms
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt y) (/ (- a t) (cbrt (- z t)))))

series639.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt y)
178.0ms
(cbrt y)
179.0ms
(cbrt y)
92.0ms
(* (* (* (cbrt y) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt y) (/ (- a t) (cbrt (- z t)))))

simplify89.0ms

Algorithm
egg-herbie
Counts
387 → 387
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
021656727
150016154

prune1.6s

Filtered
387 candidates to 277 candidates (71.6%)
Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes215.0ms

Accuracy

28.3% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.4b

bsearch57.0ms

Steps
ItersRangePoint
3
1.7589567912306152e-242
2.352857168743782e-242
2.0424226546459925e-242
10
-1.0704262188362914e+55
-1.3885190972561249e+41
-1.4081501029100684e+41

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02715
12715

end0.0ms

sample515.0ms

Algorithm
intervals
Results
263.0ms8741×body80valid
0.0ms2×body640valid