Details

Time bar (total: 2.4s)

sample30.0ms

Algorithm
intervals
Results
10.0ms323×body80valid

simplify103.0ms

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
1350014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
6.4b
(/ (* y (- z x)) t)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt add-log-exp
times-frac associate-/r*
pow1 cbrt-undiv associate-*r/ div-exp associate-/l/
+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 35
Calls
2 calls:
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series22.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ x (/ (* y (- z x)) t))
12.0ms
(/ (* y (- z x)) t)

simplify98.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0231227
1860204
24195192
35003192

prune59.0ms

Filtered
28 candidates to 41 candidates (-46.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New35641
Fresh000
Picked011
Done000
Total35742

Merged error: 0.0b

Counts
42 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.2b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite26.0ms

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
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 distribute-lft-out-- difference-of-squares unswap-sqr
add-log-exp
pow1/3
div-inv
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)
19.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
21.0ms
(cbrt t)
23.0ms
(cbrt t)
18.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify58.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0500954
12500845
25001783

prune112.0ms

Filtered
84 candidates to 116 candidates (-38.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1142116
Fresh235
Picked011
Done011
Total1167123

Merged error: 0b

Counts
123 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (/ y (* (cbrt t) (cbrt t))) (* (cbrt (/ (- z x) (cbrt t))) (cbrt (/ (- z x) (cbrt t)))))
2.5b
(cbrt (/ (- z x) (cbrt t)))
2.5b
(cbrt (/ (- z x) (cbrt t)))
2.5b
(cbrt (/ (- z x) (cbrt t)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
147×cbrt-prod
95×add-sqr-sqrt
94×times-frac
93×*-un-lft-identity
57×add-cube-cbrt
25×add-exp-log
18×distribute-lft-out-- difference-of-squares
15×add-cbrt-cube
11×cbrt-div prod-exp cbrt-unprod
pow1
associate-*l*
frac-times associate-*r/
cbrt-undiv div-exp div-inv add-log-exp
pow1/3 pow-prod-down associate-*l/
unswap-sqr
associate-*r* *-commutative
Counts
4 → 168
Calls
4 calls:
22.0ms
(* (/ y (* (cbrt t) (cbrt t))) (* (cbrt (/ (- z x) (cbrt t))) (cbrt (/ (- z x) (cbrt t)))))
6.0ms
(cbrt (/ (- z x) (cbrt t)))
6.0ms
(cbrt (/ (- z x) (cbrt t)))
8.0ms
(cbrt (/ (- z x) (cbrt t)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (/ y (* (cbrt t) (cbrt t))) (* (cbrt (/ (- z x) (cbrt t))) (cbrt (/ (- z x) (cbrt t)))))
49.0ms
(cbrt (/ (- z x) (cbrt t)))
48.0ms
(cbrt (/ (- z x) (cbrt t)))
52.0ms
(cbrt (/ (- z x) (cbrt t)))

simplify65.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06372226
119412052
250021993

prune194.0ms

Filtered
139 candidates to 180 candidates (-29.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1800180
Fresh044
Picked011
Done022
Total1807187

Merged error: 0b

Counts
187 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
14×add-cbrt-cube
13×associate-*r*
12×prod-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
pow1
cbrt-unprod
associate-*r/
div-exp add-log-exp
pow-prod-down
cbrt-undiv frac-times rec-exp flip3-- 1-exp associate-*l/ flip--
+-commutative flip3-+ associate-*l* sum-log un-div-inv *-commutative flip-+ div-inv
Counts
2 → 53
Calls
2 calls:
3.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
10.0ms
(* (* y (- z x)) (/ 1 t))

series22.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
12.0ms
(* (* y (- z x)) (/ 1 t))

simplify45.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0375374
11745318
25001294

prune46.0ms

Filtered
35 candidates to 59 candidates (-68.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New59059
Fresh033
Picked011
Done033
Total59766

Merged error: 0b

Counts
66 → 7

regimes392.0ms

Accuracy

78% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02316
12316

end0.0ms

sample729.0ms

Algorithm
intervals
Results
335.0ms10642×body80valid

Profiling

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