Details

Time bar (total: 2.5s)

sample35.0ms

Algorithm
intervals
Results
14.0ms280×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
036311
136311

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
2.2b
(* y (/ (- z t) (- z a)))

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:
9.0ms
(/ (- z t) (- z a))
15.0ms
(* y (/ (- z t) (- z a)))

series31.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(/ (- z t) (- z a))
18.0ms
(* y (/ (- z t) (- z a)))

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
052871165

prune101.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1053108
Fresh101
Picked011
Done000
Total1064110

Merged error: 0b

Counts
110 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
3.5b
(cbrt (/ (- z t) (- z a)))
3.5b
(cbrt (/ (- z t) (- z a)))
3.5b
(cbrt (/ (- z t) (- z a)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
98×*-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×associate-*r/ add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 142
Calls
4 calls:
23.0ms
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
8.0ms
(cbrt (/ (- z t) (- z a)))
8.0ms
(cbrt (/ (- z t) (- z a)))
8.0ms
(cbrt (/ (- z t) (- z a)))

series153.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
34.0ms
(cbrt (/ (- z t) (- z a)))
34.0ms
(cbrt (/ (- z t) (- z a)))
39.0ms
(cbrt (/ (- z t) (- z a)))

simplify47.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051392243

prune146.0ms

Filtered
108 candidates to 154 candidates (-42.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1540154
Fresh022
Picked011
Done011
Total1544158

Merged error: 0b

Counts
158 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z a))
12.0b
(* (* y (- z t)) (/ 1 (- z a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
28×add-exp-log
21×add-cube-cbrt associate-*r*
16×add-cbrt-cube
12×prod-exp
8×pow1
7×distribute-lft-out-- difference-of-squares
6×div-exp cbrt-unprod
5×associate-*r/ associate-/r*
4×flip3-- associate-/r/ flip--
3×cbrt-undiv rec-exp 1-exp pow-prod-down associate-/l*
2×frac-times associate-*l/ div-inv add-log-exp
1×pow-flip frac-2neg associate-*l* clear-num un-div-inv *-commutative inv-pow
Counts
2 → 91
Calls
2 calls:
9.0ms
(/ 1 (- z a))
15.0ms
(* (* y (- z t)) (/ 1 (- z a)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- z a))
17.0ms
(* (* y (- z t)) (/ 1 (- z a)))

simplify38.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04972872
14972872

prune81.0ms

Filtered
53 candidates to 97 candidates (-83.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh011
Picked011
Done022
Total974101

Merged error: 0b

Counts
101 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt y) (sqrt (/ (- z t) (- z a))))
0.1b
(* (* (sqrt y) (sqrt (/ (- z t) (- z a)))) (* (sqrt y) (sqrt (/ (- z t) (- z a)))))
2.9b
(sqrt (/ (- z t) (- z a)))
2.9b
(sqrt (/ (- z t) (- z a)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
120×add-sqr-sqrt
103×sqrt-prod
100×*-un-lft-identity
79×times-frac
65×pow1
40×add-cube-cbrt
38×pow-prod-down
35×associate-*r*
30×distribute-lft-out-- difference-of-squares
20×sqrt-pow1 pow1/2
18×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
8×pow-prod-up
7×sqrt-div associate-*l*
6×sqrt-unprod associate-*r/ associate-/r/ pow-sqr unswap-sqr
4×rem-sqrt-square add-log-exp
3×flip3-- flip-- div-inv
2×pow-plus *-commutative
1×pow2 frac-times swap-sqr associate-*l/ rem-square-sqrt
Counts
4 → 194
Calls
4 calls:
19.0ms
(* (sqrt y) (sqrt (/ (- z t) (- z a))))
31.0ms
(* (* (sqrt y) (sqrt (/ (- z t) (- z a)))) (* (sqrt y) (sqrt (/ (- z t) (- z a)))))
9.0ms
(sqrt (/ (- z t) (- z a)))
9.0ms
(sqrt (/ (- z t) (- z a)))

series134.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (sqrt y) (sqrt (/ (- z t) (- z a))))
28.0ms
(* (* (sqrt y) (sqrt (/ (- z t) (- z a)))) (* (sqrt y) (sqrt (/ (- z t) (- z a)))))
30.0ms
(sqrt (/ (- z t) (- z a)))
35.0ms
(sqrt (/ (- z t) (- z a)))

simplify44.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
063252409

prune154.0ms

Filtered
126 candidates to 206 candidates (-63.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2060206
Fresh000
Picked011
Done033
Total2064210

Merged error: 0b

Counts
210 → 4

regimes318.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211
11211

end0.0ms

sample866.0ms

Algorithm
intervals
Results
333.0ms8751×body80valid
0.0ms2×body1280valid
0.0ms3×body160valid

Profiling

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