Details

Time bar (total: 3.5s)

sample25.0ms

Algorithm
intervals
Results
13.0ms346×body80valid

simplify109.0ms

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

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: 6.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
6.8b
(/ (* y (- z x)) t)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv associate-*r/ div-exp associate-/l/
1×+-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))
7.0ms
(/ (* y (- z x)) t)

series88.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (/ (* y (- z x)) t))
51.0ms
(/ (* y (- z x)) t)

simplify97.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0231227
1860204
24195192
35003192

prune84.0ms

Filtered
41 candidates to 28 candidates (68.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New33841
Fresh000
Picked011
Done000
Total33942

Merged error: 0.0b

Counts
42 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
5.7b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite27.0ms

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)
19.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series657.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt t)
191.0ms
(cbrt t)
184.0ms
(cbrt t)
97.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0480918
12615741
25001706

prune280.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh167
Picked011
Done011
Total1169125

Merged error: 0b

Counts
125 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (cbrt (/ y (* (cbrt t) (cbrt t)))) (cbrt (/ y (* (cbrt t) (cbrt t))))) (* (cbrt (/ y (* (cbrt t) (cbrt t)))) (/ (- z x) (cbrt t))))
8.3b
(cbrt (/ y (* (cbrt t) (cbrt t))))
8.3b
(cbrt (/ y (* (cbrt t) (cbrt t))))
8.3b
(cbrt (/ y (* (cbrt t) (cbrt t))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-div
25×add-exp-log
21×cbrt-prod
17×frac-times
16×pow1
13×prod-exp add-cbrt-cube cbrt-unprod
11×associate-*r/ associate-*l/
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×pow-prod-down
4×add-log-exp
3×pow1/3 div-inv
2×cbrt-undiv div-exp
1×associate-*r* associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
19.0ms
(* (* (cbrt (/ y (* (cbrt t) (cbrt t)))) (cbrt (/ y (* (cbrt t) (cbrt t))))) (* (cbrt (/ y (* (cbrt t) (cbrt t)))) (/ (- z x) (cbrt t))))
5.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
5.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
5.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))

series535.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (* (cbrt (/ y (* (cbrt t) (cbrt t)))) (cbrt (/ y (* (cbrt t) (cbrt t))))) (* (cbrt (/ y (* (cbrt t) (cbrt t)))) (/ (- z x) (cbrt t))))
160.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
152.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
159.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))

simplify48.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03451457
113421111
250021012

prune265.0ms

Filtered
101 candidates to 70 candidates (69.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh066
Picked011
Done022
Total1019110

Merged error: 0b

Counts
110 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.5b
(/ 1 (/ t (* y (- z x))))
6.8b
(/ t (* y (- z x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
29×add-exp-log
26×*-un-lft-identity
23×add-sqr-sqrt add-cube-cbrt
17×add-cbrt-cube
14×div-exp
11×associate-/r/
10×associate-*r/ associate-/r*
7×cbrt-undiv div-inv
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×pow1 prod-exp
3×rec-exp 1-exp
2×frac-2neg clear-num cbrt-unprod distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 100
Calls
3 calls:
10.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
9.0ms
(/ 1 (/ t (* y (- z x))))
6.0ms
(/ t (* y (- z x)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
53.0ms
(/ 1 (/ t (* y (- z x))))
43.0ms
(/ t (* y (- z x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0405716
11828588
25003562

prune137.0ms

Filtered
109 candidates to 57 candidates (52.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1081109
Fresh235
Picked101
Done033
Total1117118

Merged error: 0b

Counts
118 → 7

regimes174.0ms

Accuracy

57.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
12520

end0.0ms

sample601.0ms

Algorithm
intervals
Results
328.0ms10638×body80valid

Profiling

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