Details

Time bar (total: 3.3s)

sample22.0ms

Algorithm
intervals
Results
9.0ms269×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0185
1335
2585
31015
41455
51785
62045
72645
83525
94415
107075
119065
1210225
1310445
1410445

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: 9.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- z a)))
0.0b
(* y (- z t))
9.8b
(/ (* y (- z t)) (- z a))

rewrite28.0ms

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:
12.0ms
(+ x (/ (* y (- z t)) (- z a)))
6.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- z a))

series173.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(+ x (/ (* y (- z t)) (- z a)))
38.0ms
(* y (- z t))
63.0ms
(/ (* y (- z t)) (- z a))

simplify46.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0337381
11443342
25002342

prune142.0ms

Filtered
76 candidates to 52 candidates (68.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New73376
Fresh000
Picked011
Done000
Total73477

Merged error: 0b

Counts
77 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ (- z a) (- z t))))
0.0b
(/ (- z a) (- z t))
1.6b
(/ y (/ (- z a) (- z t)))

rewrite61.0ms

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:
29.0ms
(+ x (/ y (/ (- z a) (- z t))))
8.0ms
(/ (- z a) (- z t))
12.0ms
(/ y (/ (- z a) (- z t)))

series235.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(+ x (/ y (/ (- z a) (- z t))))
45.0ms
(/ (- z a) (- z t))
111.0ms
(/ y (/ (- z a) (- z t)))

simplify85.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07021885
130691832
250021829

prune426.0ms

Filtered
215 candidates to 144 candidates (67.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2150215
Fresh022
Picked011
Done011
Total2154219

Merged error: 0b

Counts
219 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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) (- z a))))
8.0ms
(/ (- z t) (- z a))
14.0ms
(* y (/ (- z t) (- z a)))

series181.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ x (* y (/ (- z t) (- z a))))
41.0ms
(/ (- z t) (- z a))
64.0ms
(* y (/ (- z t) (- z a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0423747
11655704
25001704

prune213.0ms

Filtered
122 candidates to 82 candidates (67.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done022
Total1224126

Merged error: 0b

Counts
126 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

6.1b
(cbrt (/ (* y (- z t)) (- z a)))
9.8b
(/ (* y (- z t)) (- z a))
9.8b
(/ (* y (- z t)) (- z a))
9.8b
(/ (* y (- z t)) (- z a))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt *-un-lft-identity
20×times-frac
19×add-exp-log add-cbrt-cube
15×associate-/r*
12×add-cube-cbrt
11×cbrt-prod
8×associate-/r/
7×flip3-- flip-- distribute-lft-out-- difference-of-squares
6×cbrt-undiv associate-*r/ div-exp associate-/l/
4×pow1 div-inv add-log-exp
3×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×cbrt-div pow1/3
Counts
4 → 107
Calls
4 calls:
7.0ms
(cbrt (/ (* y (- z t)) (- z a)))
9.0ms
(/ (* y (- z t)) (- z a))
9.0ms
(/ (* y (- z t)) (- z a))
9.0ms
(/ (* y (- z t)) (- z a))

series319.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (/ (* y (- z t)) (- z a)))
60.0ms
(/ (* y (- z t)) (- z a))
63.0ms
(/ (* y (- z t)) (- z a))
64.0ms
(/ (* y (- z t)) (- z a))

simplify100.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0271720
1949628
24341626
35001625

prune304.0ms

Filtered
119 candidates to 89 candidates (74.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done033
Total1194123

Merged error: 0b

Counts
123 → 4

regimes183.0ms

Accuracy

47.3% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02518
12518

end0.0ms

sample571.0ms

Algorithm
intervals
Results
303.0ms8660×body80valid
0.0ms1×body320valid
0.0ms1×body160valid

Profiling

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