Details

Time bar (total: 4.5s)

sample36.0ms

Algorithm
intervals
Results
20.0ms476×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune8.0ms

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: 18.2b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
19.2b
(/ (* x x) (* y y))

rewrite8.0ms

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))

series121.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
29.0ms
(/ (* x x) (* y y))

simplify85.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune87.0ms

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

localize7.0ms

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))

rewrite17.0ms

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)))
13.0ms
(* (/ x y) (/ x y))

series117.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
25.0ms
(* (/ x y) (/ x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0375521
11788441
25001391

prune181.0ms

Filtered
85 candidates to 56 candidates (65.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New78785
Fresh336
Picked101
Done000
Total821092

Merged error: 0.1b

Counts
92 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt y)
4.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series710.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
185.0ms
(cbrt x)
174.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify53.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune222.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New64064
Fresh099
Picked011
Done000
Total641074

Merged error: 0.1b

Counts
74 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt times-frac
45×add-exp-log
32×add-cbrt-cube
28×add-cube-cbrt *-un-lft-identity
22×associate-*r*
21×cbrt-prod
17×cbrt-undiv div-exp associate-*l*
14×prod-exp cbrt-unprod
9×unswap-sqr
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 121
Calls
4 calls:
19.0ms
(* (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (cbrt y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series604.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (cbrt y)))
179.0ms
(cbrt y)
192.0ms
(cbrt y)
180.0ms
(cbrt y)

simplify80.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06071071
13305864
25001790

prune374.0ms

Filtered
133 candidates to 104 candidates (78.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1321133
Fresh088
Picked011
Done011
Total13211143

Merged error: 0.1b

Counts
143 → 11

regimes311.0ms

Accuracy

0% (0.7b remaining)

Error of 0.9b against oracle of 0.2b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01716
11716

end0.0ms

sample1.3s

Algorithm
intervals
Results
905.0ms15455×body80valid

Profiling

Loading profile data...