Details

Time bar (total: 4.2s)

sample39.0ms

Algorithm
intervals
Results
22.0ms506×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.1b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
24.9b
(/ (* x x) (* y y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
1.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
7.0ms
(/ (* x x) (* y y))

series141.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
33.0ms
(/ (* x x) (* y y))

simplify103.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune108.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New32739
Fresh101
Picked101
Done000
Total34741

Merged error: 0.2b

Counts
41 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
0.3b
(* (/ x y) (/ x y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
1.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
11.0ms
(* (/ x y) (/ x y))

series138.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
30.0ms
(* (/ x y) (/ x y))

simplify66.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0375521
11788441
25001391

prune225.0ms

Filtered
85 candidates to 56 candidates (65.9%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New77885
Fresh066
Picked101
Done000
Total781492

Merged error: 0.1b

Counts
92 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
9.4b
(cbrt (/ x y))
9.4b
(cbrt (/ x y))
9.4b
(cbrt (/ x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 152
Calls
4 calls:
13.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series313.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
73.0ms
(cbrt (/ x y))
74.0ms
(cbrt (/ x y))
69.0ms
(cbrt (/ x y))

simplify95.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
02671139
19171091
235901046
350011022

prune548.0ms

Filtered
164 candidates to 127 candidates (77.4%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1622164
Fresh01313
Picked011
Done000
Total16216178

Merged error: 0.1b

Counts
178 → 16

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ x y) (/ x y))
17.9b
(cbrt (* (/ x y) (/ x y)))
17.9b
(cbrt (* (/ x y) (/ x y)))
17.9b
(cbrt (* (/ x y) (/ x y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×times-frac
32×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
11×pow1
9×cbrt-div
4×cbrt-undiv expm1-log1p-u frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
3×cbrt-prod pow1/3
1×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 111
Calls
4 calls:
14.0ms
(* (/ x y) (/ x y))
5.0ms
(cbrt (* (/ x y) (/ x y)))
6.0ms
(cbrt (* (/ x y) (/ x y)))
6.0ms
(cbrt (* (/ x y) (/ x y)))

series321.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (/ x y) (/ x y))
95.0ms
(cbrt (* (/ x y) (/ x y)))
97.0ms
(cbrt (* (/ x y) (/ x y)))
99.0ms
(cbrt (* (/ x y) (/ x y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0415716
11951618
25002534

prune328.0ms

Filtered
123 candidates to 87 candidates (70.7%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh01414
Picked011
Done011
Total12316139

Merged error: 0.1b

Counts
139 → 16

regimes505.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

end0.0ms

sample1.1s

Algorithm
intervals
Results
690.0ms15242×body80valid

Profiling

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