Details

Time bar (total: 4.1s)

sample38.0ms

Algorithm
intervals
Results
21.0ms500×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

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: 19.6b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
19.4b
(/ (* 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))

series137.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
30.0ms
(/ (* x x) (* y y))

simplify94.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune109.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New33639
Fresh011
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))

rewrite14.0ms

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)))
10.0ms
(* (/ x y) (/ x y))

series143.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
35.0ms
(* (/ x y) (/ x y))

simplify59.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0375521
11788441
25001391

prune234.0ms

Filtered
85 candidates to 56 candidates (65.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New76985
Fresh336
Picked101
Done000
Total801292

Merged error: 0.1b

Counts
92 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
20.3b
(cbrt (* (/ x y) (/ x y)))
20.3b
(cbrt (* (/ x y) (/ x y)))
20.3b
(cbrt (* (/ x y) (/ x y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* 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 → 93
Calls
4 calls:
6.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
6.0ms
(cbrt (* (/ x y) (/ x y)))
5.0ms
(cbrt (* (/ x y) (/ x y)))
6.0ms
(cbrt (* (/ x y) (/ x y)))

series421.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
99.0ms
(cbrt (* (/ x y) (/ x y)))
104.0ms
(cbrt (* (/ x y) (/ x y)))
102.0ms
(cbrt (* (/ x y) (/ x y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0207783
1633700
22620637
35001623

prune339.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1032105
Fresh01111
Picked101
Done000
Total10413117

Merged error: 0.1b

Counts
117 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
11.3b
(cbrt (/ x y))
11.3b
(cbrt (/ x y))
11.3b
(cbrt (/ x y))

rewrite29.0ms

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))

series322.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
76.0ms
(cbrt (/ x y))
69.0ms
(cbrt (/ x y))
78.0ms
(cbrt (/ x y))

simplify90.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
02671139
19171091
235901046
350011022

prune592.0ms

Filtered
164 candidates to 127 candidates (77.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1622164
Fresh3912
Picked011
Done000
Total16512177

Merged error: 0.1b

Counts
177 → 12

regimes295.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01714
11714

end0.0ms

sample975.0ms

Algorithm
intervals
Results
575.0ms15643×body80valid