Details

Time bar (total: 8.0s)

sample93.0ms

Algorithm
intervals
Results
29.0ms681×body80nan
11.0ms20×body1280valid
8.0ms30×body640valid
8.0ms160×body80valid
6.0ms33×body320valid
2.0ms15×body160valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1307
2397
3457
4607
5887
61257
71767
82087
92257
102937
112937

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.7b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.3b
(* x (log y))
5.0b
(log (- 1.0 y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×log-prod
18×*-un-lft-identity
12×add-cube-cbrt
10×pow1
8×add-exp-log distribute-rgt-in distribute-lft-in associate-*r*
7×add-cbrt-cube
6×associate-*l*
3×log-pow distribute-lft-out-- add-log-exp difference-of-squares
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×flip3-- rem-log-exp flip--
Counts
3 → 70
Calls
3 calls:
6.0ms
(* z (log (- 1.0 y)))
7.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series160.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* z (log (- 1.0 y)))
44.0ms
(* x (log y))
45.0ms
(log (- 1.0 y))

simplify127.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0330423
11186372
24939355
35001355

prune162.0ms

Filtered
79 candidates to 51 candidates (35.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New73679
Fresh000
Picked101
Done000
Total74680

Merged error: 0.0b

Counts
80 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.0b
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.3b
(* x (log y))
7.9b
(* z (pow y 2))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
248×associate-*r*
213×add-sqr-sqrt
180×times-frac
112×unpow-prod-down
101×*-un-lft-identity
91×add-cube-cbrt
78×unswap-sqr
51×add-exp-log
50×unpow2 sqr-pow
41×associate-*l*
31×associate-*r/
26×prod-exp
22×associate-/l*
17×add-cbrt-cube
12×div-exp *-commutative
11×pow1
8×pow-to-exp pow-exp associate-/r*
6×log-prod cbrt-unprod add-log-exp
4×distribute-lft-out
3×distribute-rgt-in distribute-lft-in pow-prod-down un-div-inv
2×cbrt-undiv clear-num
1×+-commutative frac-2neg flip3-+ sum-log log-pow flip-+ div-inv
Counts
4 → 315
Calls
4 calls:
47.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
180.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
4.0ms
(* x (log y))
7.0ms
(* z (pow y 2))

series261.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
125.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
39.0ms
(* x (log y))
32.0ms
(* z (pow y 2))

simplify62.0ms

Algorithm
egg-herbie
Counts
327 → 327
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
014791941
150011721

prune1.2s

Filtered
327 candidates to 210 candidates (35.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3207327
Fresh505
Picked101
Done000
Total3267333

Merged error: 0.0b

Counts
333 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)
7.9b
(* z (pow y 2))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
19×add-sqr-sqrt
13×add-cube-cbrt associate-*l*
12×cbrt-prod associate-+r+ log-prod
9×add-exp-log associate-*r*
8×distribute-lft-out
6×pow1 distribute-rgt-in distribute-lft-in *-commutative add-cbrt-cube add-log-exp
4×unpow-prod-down unswap-sqr
3×prod-exp
2×distribute-rgt-out pow1/3 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-prod-down pow-exp sum-log cbrt-unprod flip-+
Counts
4 → 83
Calls
4 calls:
27.0ms
(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
9.0ms
(* z (pow y 2))

series530.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
181.0ms
(cbrt y)
179.0ms
(cbrt y)
31.0ms
(* z (pow y 2))

simplify56.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0322512
11207419
25001348

prune388.0ms

Filtered
95 candidates to 68 candidates (28.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New92395
Fresh426
Picked101
Done000
Total975102

Merged error: 0.0b

Counts
102 → 5

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.7b
(cbrt (cbrt y))
0.7b
(cbrt (* (cbrt y) (cbrt y)))
7.9b
(* z (pow y 2))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
33×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
14×associate-*r*
9×add-exp-log associate-*l*
8×unswap-sqr
6×pow1 swap-sqr add-cbrt-cube
4×unpow-prod-down add-log-exp
3×pow1/3 prod-exp
2×*-commutative unpow2 sqr-pow
1×pow-to-exp pow-prod-down pow-exp cbrt-unprod
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
7.0ms
(cbrt (* (cbrt y) (cbrt y)))
7.0ms
(* z (pow y 2))

series753.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt y)
256.0ms
(cbrt (cbrt y))
277.0ms
(cbrt (* (cbrt y) (cbrt y)))
35.0ms
(* z (pow y 2))

simplify160.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0243512
1842478
24619441
35001441

prune497.0ms

Filtered
100 candidates to 70 candidates (30.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1000100
Fresh044
Picked011
Done000
Total1005105

Merged error: 0.0b

Counts
105 → 5

regimes170.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04428
14428

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s23956×body80nan
276.0ms5464×body80valid
269.0ms905×body640valid
247.0ms414×body1280valid
131.0ms750×body320valid
53.0ms502×body160valid