Details

Time bar (total: 3.7s)

sample25.0ms

Algorithm
intervals
Results
12.0ms375×body80valid

simplify110.0ms

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: 6.7b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
6.6b
(/ (* y (- z x)) t)

rewrite24.0ms

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:
7.0ms
(* y (- z x))
5.0ms
(+ x (/ (* y (- z x)) t))
11.0ms
(/ (* y (- z x)) t)

series123.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* y (- z x))
39.0ms
(+ x (/ (* y (- z x)) t))
48.0ms
(/ (* y (- z x)) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0290325
11223280
25001280

prune126.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New61970
Fresh000
Picked011
Done000
Total611071

Merged error: 0.0b

Counts
71 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.2b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite31.0ms

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)
1.0ms
(cbrt t)
23.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series645.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt t)
183.0ms
(cbrt t)
180.0ms
(cbrt t)
94.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify64.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0480918
12615741
25001706

prune272.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh088
Picked011
Done011
Total11610126

Merged error: 0.0b

Counts
126 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
4.3b
(/ y (/ t (- z x)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
123×times-frac
86×*-un-lft-identity
84×add-sqr-sqrt
60×add-cube-cbrt
21×associate-/r*
12×distribute-lft-out-- difference-of-squares
9×associate-/r/
7×add-exp-log add-cbrt-cube
5×div-inv
4×flip3-- flip-- add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×pow1
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
24.0ms
(+ x (/ y (/ t (- z x))))
9.0ms
(/ y (/ t (- z x)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (/ y (/ t (- z x))))
53.0ms
(/ y (/ t (- z x)))

simplify64.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0521962
12250932
25002929

prune252.0ms

Filtered
120 candidates to 90 candidates (75.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1182120
Fresh437
Picked011
Done112
Total1237130

Merged error: 0b

Counts
130 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z x))
0.0b
(+ x (/ (/ y t) (/ 1 (- z x))))
6.0b
(/ (/ y t) (/ 1 (- z x)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
387×*-un-lft-identity
385×add-sqr-sqrt
293×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 384
Calls
3 calls:
6.0ms
(/ 1 (- z x))
101.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
21.0ms
(/ (/ y t) (/ 1 (- z x)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- z x))
40.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
54.0ms
(/ (/ y t) (/ 1 (- z x)))

simplify84.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017044271
150013887

prune603.0ms

Filtered
393 candidates to 216 candidates (55.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3921393
Fresh134
Picked011
Done022
Total3937400

Merged error: 0b

Counts
400 → 7

regimes157.0ms

Accuracy

67.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.2b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02717
12717

end0.0ms

sample634.0ms

Algorithm
intervals
Results
363.0ms10629×body80valid

Profiling

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