Details

Time bar (total: 4.3s)

sample39.0ms

Algorithm
intervals
Results
21.0ms486×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: 20.4b

Counts
2 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
22.5b
(/ (* 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))

series139.0ms

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

simplify106.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune105.0ms

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:

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

rewrite16.0ms

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)))
12.0ms
(* (/ x y) (/ x y))

series141.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
31.0ms
(* (/ x y) (/ x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0375521
11788441
25001391

prune212.0ms

Filtered
85 candidates to 56 candidates (65.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New76985
Fresh246
Picked101
Done000
Total791392

Merged error: 0.1b

Counts
92 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
9.1b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
9.1b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
9.1b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))))
147.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
142.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
141.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
01911241
16251122
226251013
35002992

prune327.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New86793
Fresh3912
Picked011
Done000
Total8917106

Merged error: 0.0b

Counts
106 → 17

localize17.0ms

Local error

Found 4 expressions with local error:

6.6b
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
6.6b
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
9.1b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
9.1b
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3 fma-udef hypot-def
Counts
4 → 58
Calls
4 calls:
2.0ms
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
2.0ms
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
1.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
2.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series459.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
90.0ms
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
141.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))
138.0ms
(cbrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify77.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 4 (69.0ms)

IterNodesCost
0112598
1226534
2612524
31901518
45001502

prune249.0ms

Filtered
70 candidates to 59 candidates (84.3%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh11415
Picked011
Done011
Total701787

Merged error: 0.0b

Counts
87 → 17

regimes520.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01633
11633

end0.0ms

sample1.1s

Algorithm
intervals
Results
699.0ms15467×body80valid