Details

Time bar (total: 3.1s)

sample23.0ms

Algorithm
intervals
Results
10.0ms330×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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: 6.4b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
6.5b
(/ (* y (- z x)) t)

rewrite19.0ms

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))
7.0ms
(/ (* y (- z x)) t)

series121.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- z x))
39.0ms
(+ x (/ (* y (- z x)) t))
47.0ms
(/ (* y (- z x)) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0290325
11223280
25001280

prune115.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64670
Fresh000
Picked011
Done000
Total64771

Merged error: 0b

Counts
71 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
7.2b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
4.0ms
(cbrt t)
19.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series646.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt t)
174.0ms
(cbrt t)
185.0ms
(cbrt t)
91.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0480918
12615741
25001706

prune254.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh055
Picked011
Done011
Total1167123

Merged error: 0b

Counts
123 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* (* y (- z x)) (/ 1 t)))
6.5b
(* (* y (- z x)) (/ 1 t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×+-commutative flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
6.0ms
(* y (- z x))
3.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
10.0ms
(* (* y (- z x)) (/ 1 t))

series120.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* y (- z x))
34.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
49.0ms
(* (* y (- z x)) (/ 1 t))

simplify55.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0417472
12153394
25002380

prune307.0ms

Filtered
88 candidates to 52 candidates (59.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh044
Picked011
Done022
Total88795

Merged error: 0b

Counts
95 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z x) t)
0.0b
(+ x (* y (/ (- z x) t)))
7.5b
(* 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)))
10.0ms
(* y (/ (- z x) t))

series112.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (- z x) t)
34.0ms
(+ x (* y (/ (- z x) t)))
50.0ms
(* y (/ (- z x) t))

simplify45.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0342498
11398465
25001453

prune137.0ms

Filtered
96 candidates to 62 candidates (64.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done033
Total967103

Merged error: 0b

Counts
103 → 7

regimes159.0ms

Accuracy

71.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02316
12316

end0.0ms

sample631.0ms

Algorithm
intervals
Results
350.0ms10727×body80valid

Profiling

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