Details

Time bar (total: 3.2s)

sample23.0ms

Algorithm
intervals
Results
8.0ms281×body80valid

simplify47.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) (- a t)))
11.5b
(/ (* y (- z t)) (- a t))

rewrite24.0ms

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:
6.0ms
(* y (- z t))
7.0ms
(+ x (/ (* y (- z t)) (- a t)))
9.0ms
(/ (* y (- z t)) (- a t))

series181.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- z t))
79.0ms
(+ x (/ (* y (- z t)) (- a t)))
67.0ms
(/ (* y (- z t)) (- a t))

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0334381
11437342
25001342

prune161.0ms

Filtered
76 candidates to 52 candidates (68.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New68876
Fresh000
Picked101
Done000
Total69877

Merged error: 0.0b

Counts
77 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.0b
(+ x (/ y (/ (- a t) (- z t))))
1.5b
(/ y (/ (- a t) (- z t)))

rewrite65.0ms

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:
8.0ms
(/ (- a t) (- z t))
32.0ms
(+ x (/ y (/ (- a t) (- z t))))
12.0ms
(/ y (/ (- a t) (- z t)))

series322.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- a t) (- z t))
115.0ms
(+ x (/ y (/ (- a t) (- z t))))
156.0ms
(/ y (/ (- a t) (- z t)))

simplify77.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06971888
130511835
250021832

prune417.0ms

Filtered
215 candidates to 144 candidates (67.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2132215
Fresh347
Picked101
Done000
Total2176223

Merged error: 0b

Counts
223 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
1.7b
(* y (/ (- z t) (- a t)))

rewrite29.0ms

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:
3.0ms
(+ x (* y (/ (- z t) (- a t))))
8.0ms
(/ (- z t) (- a t))
13.0ms
(* y (/ (- z t) (- a t)))

series225.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(+ x (* y (/ (- z t) (- a t))))
51.0ms
(/ (- z t) (- a t))
95.0ms
(* y (/ (- z t) (- a t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0421747
11657704
25001704

prune227.0ms

Filtered
122 candidates to 82 candidates (67.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1211122
Fresh145
Picked011
Done000
Total1226128

Merged error: 0b

Counts
128 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
0.0b
(+ x (* (/ y (- a t)) (- z t)))
10.2b
(* (/ y (- a t)) (- z t))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*l*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ flip3-- distribute-lft-in associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 102
Calls
3 calls:
5.0ms
(/ y (- a t))
3.0ms
(+ x (* (/ y (- a t)) (- z t)))
16.0ms
(* (/ y (- a t)) (- z t))

series292.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ y (- a t))
118.0ms
(+ x (* (/ y (- a t)) (- z t)))
147.0ms
(* (/ y (- a t)) (- z t))

simplify45.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0408616
11631576
25001576

prune193.0ms

Filtered
111 candidates to 79 candidates (71.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh044
Picked011
Done011
Total1116117

Merged error: 0b

Counts
117 → 6

regimes153.0ms

Accuracy

71.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch75.0ms

Steps
ItersRangePoint
8
2.8964886167182877e-39
8.881447329558005e-35
6.489783540341677e-39
8
-1.3027255731436362e+29
-1.8709239678891313e+26
-4.582231539826968e+26

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03011
13011

end0.0ms

sample531.0ms

Algorithm
intervals
Results
279.0ms8743×body80valid
0.0ms3×body1280valid