Details

Time bar (total: 6.4s)

sample22.0ms

Algorithm
intervals
Results
10.0ms278×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0205
1345
2555
3935
41495
51845
62025
72295
82805
93725
104655
117685
128765
138785
148785

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: 0.8b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.4b
(* y (/ (- z t) (- a t)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ (- z t) (- a t))
17.0ms
(* y (/ (- z t) (- a t)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- z t) (- a t))
68.0ms
(* y (/ (- z t) (- a t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25002606

prune223.0ms

Filtered
108 candidates to 71 candidates (65.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh000
Picked011
Done000
Total1027109

Merged error: 0.0b

Counts
109 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
2.8b
(cbrt (/ (- z t) (- a t)))
2.8b
(cbrt (/ (- z t) (- a t)))
2.8b
(cbrt (/ (- z t) (- a t)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
42.0ms
(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
8.0ms
(cbrt (/ (- z t) (- a t)))
8.0ms
(cbrt (/ (- z t) (- a t)))
9.0ms
(cbrt (/ (- z t) (- a t)))

series1.3s

Counts
4 → 12
Calls
4 calls:
290.0ms
(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
308.0ms
(cbrt (/ (- z t) (- a t)))
332.0ms
(cbrt (/ (- z t) (- a t)))
323.0ms
(cbrt (/ (- z t) (- a t)))

simplify83.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05443638
117483570
250013366

prune929.0ms

Filtered
288 candidates to 180 candidates (62.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2871288
Fresh055
Picked011
Done011
Total2878295

Merged error: 0b

Counts
295 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.6b
(cbrt (- z t))
2.8b
(cbrt (/ (- z t) (- a t)))
2.8b
(cbrt (/ (- z t) (- a t)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-prod add-sqr-sqrt *-un-lft-identity
50×times-frac
28×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
6×cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 associate-/r/ add-cbrt-cube flip-- add-log-exp
2×div-inv
Counts
4 → 110
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- z t))
7.0ms
(cbrt (/ (- z t) (- a t)))
11.0ms
(cbrt (/ (- z t) (- a t)))

series933.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- a t))
154.0ms
(cbrt (- z t))
309.0ms
(cbrt (/ (- z t) (- a t)))
317.0ms
(cbrt (/ (- z t) (- a t)))

simplify86.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
04331088
19661058
232151039
350011000

prune401.0ms

Filtered
122 candidates to 90 candidates (73.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh055
Picked011
Done022
Total1228130

Merged error: 0b

Counts
130 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
0.6b
(* (cbrt (- a t)) (cbrt (- a t)))
5.6b
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt
79×*-un-lft-identity
65×cbrt-prod
54×associate-*r*
50×times-frac
35×add-cube-cbrt
30×cbrt-div
27×add-exp-log
23×associate-*l*
21×distribute-lft-out--
19×difference-of-squares
18×add-cbrt-cube
15×flip3-- flip--
13×pow1
10×swap-sqr associate-/r/ unswap-sqr
9×frac-times prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
5×associate-*r/ associate-*l/
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 177
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
11.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
34.0ms
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

series594.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(cbrt (- a t))
154.0ms
(cbrt (- a t))
125.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
153.0ms
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

simplify108.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
07511928
139431754
250011627

prune464.0ms

Filtered
189 candidates to 129 candidates (68.3%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1890189
Fresh044
Picked011
Done033
Total1898197

Merged error: 0b

Counts
197 → 8

regimes262.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample586.0ms

Algorithm
intervals
Results
332.0ms8735×body80valid
0.0ms1×body320valid

Profiling

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