Details

Time bar (total: 3.3s)

sample268.0ms

Algorithm
intervals
Results
248.0ms349×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1121284
1233854
1350024

prune4.0ms

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: 6.9b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.1b
(/ (* y (- z x)) t)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- 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* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series118.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- z x))
35.0ms
(+ x (/ (* y (- z x)) t))
49.0ms
(/ (* y (- z x)) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune243.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New62870
Fresh000
Picked101
Done000
Total63871

Merged error: 0.0b

Counts
71 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z x) t)
0.0b
(+ x (* y (/ (- z x) t)))
5.8b
(* y (/ (- z x) t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
6.0ms
(/ (- z x) t)
3.0ms
(+ x (* y (/ (- z x) t)))
9.0ms
(* y (/ (- z x) t))

series108.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (- z x) t)
34.0ms
(+ x (* y (/ (- z x) t)))
48.0ms
(* y (/ (- z x) t))

simplify43.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0342498
11398465
25001453

prune320.0ms

Filtered
96 candidates to 65 candidates (67.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New94296
Fresh257
Picked011
Done000
Total968104

Merged error: 0.0b

Counts
104 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (* (- z x) (/ 1 t))))
0.3b
(* (- z x) (/ 1 t))
5.8b
(* y (* (- z x) (/ 1 t)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
21×add-sqr-sqrt
17×add-cbrt-cube
15×*-un-lft-identity
14×associate-*r*
13×prod-exp
12×add-cube-cbrt
11×times-frac
10×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
5×add-log-exp
4×frac-times flip3-- div-exp pow-prod-down associate-*l/ flip--
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative
1×+-commutative flip3-+ sum-log flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 81
Calls
3 calls:
3.0ms
(+ x (* y (* (- z x) (/ 1 t))))
9.0ms
(* (- z x) (/ 1 t))
9.0ms
(* y (* (- z x) (/ 1 t)))

series110.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (* y (* (- z x) (/ 1 t))))
25.0ms
(* (- z x) (/ 1 t))
49.0ms
(* y (* (- z x) (/ 1 t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0394497
11673425
25001401

prune280.0ms

Filtered
90 candidates to 58 candidates (64.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh066
Picked011
Done011
Total90898

Merged error: 0.0b

Counts
98 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (+ (* y z) (* y (neg x))) t))
0.5b
(+ (* y z) (* y (neg x)))
7.1b
(/ (+ (* y z) (* y (neg x))) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
7×add-log-exp
6×distribute-rgt-neg-out distribute-lft-out
5×add-exp-log add-cbrt-cube
4×div-sub associate-/l*
3×pow1 flip3-+ unsub-neg associate-/r* flip-+
2×+-commutative associate-+r- sum-log associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 63
Calls
3 calls:
11.0ms
(+ x (/ (+ (* y z) (* y (neg x))) t))
3.0ms
(+ (* y z) (* y (neg x)))
6.0ms
(/ (+ (* y z) (* y (neg x))) t)

series121.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (/ (+ (* y z) (* y (neg x))) t))
34.0ms
(+ (* y z) (* y (neg x)))
51.0ms
(/ (+ (* y z) (* y (neg x))) t)

simplify37.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0281536
11062465
25002438

prune246.0ms

Filtered
72 candidates to 54 candidates (75.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New71172
Fresh235
Picked011
Done022
Total73780

Merged error: 0.0b

Counts
80 → 7

regimes359.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample778.0ms

Algorithm
intervals
Results
320.0ms10715×body80valid

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