Details

Time bar (total: 3.5s)

sample22.0ms

Algorithm
intervals
Results
10.0ms337×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2484
3794
41214
51494
62184
73204
83964
95994
108934
1112784
1221734
1337544
1450014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.4b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
5.7b
(/ (* (- y x) z) t)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
6.0ms
(* (- y x) z)
4.0ms
(+ x (/ (* (- y x) z) t))
7.0ms
(/ (* (- y x) z) t)

series108.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (- y x) z)
34.0ms
(+ x (/ (* (- y x) z) t))
44.0ms
(/ (* (- y x) z) t)

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0283314
11117267
25001267

prune118.0ms

Filtered
66 candidates to 45 candidates (68.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New58866
Fresh000
Picked101
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.0b
(/ (- y x) (/ t z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
19.0ms
(+ x (/ (- y x) (/ t z)))
9.0ms
(/ (- y x) (/ t z))

series78.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (/ (- y x) (/ t z)))
45.0ms
(/ (- y x) (/ t z))

simplify58.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0609959
12199914
25001913

prune216.0ms

Filtered
120 candidates to 85 candidates (70.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1182120
Fresh437
Picked011
Done000
Total1226128

Merged error: 0b

Counts
128 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
8.2b
(* (- y x) (/ z t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))

series78.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (* (- y x) (/ z t)))
45.0ms
(* (- y x) (/ z t))

simplify39.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0296310
11245287
25001275

prune94.0ms

Filtered
55 candidates to 39 candidates (70.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh044
Picked011
Done011
Total55661

Merged error: 0b

Counts
61 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
3.6b
(/ (cbrt (- y x)) (/ t z))
4.4b
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
367×times-frac
249×add-sqr-sqrt
238×*-un-lft-identity
180×add-cube-cbrt
147×cbrt-prod
109×associate-*r*
30×add-exp-log cbrt-div
29×distribute-lft-out-- difference-of-squares
19×div-inv
18×add-cbrt-cube
16×frac-times
15×flip3-- flip--
13×associate-/r*
12×associate-*l/
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
8×associate-/l*
5×associate-*r/ unswap-sqr
4×add-log-exp
3×pow-prod-down
2×pow1/3 associate-/r/ associate-/l/
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 326
Calls
4 calls:
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
10.0ms
(/ (cbrt (- y x)) (/ t z))
36.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- y x))
148.0ms
(cbrt (- y x))
321.0ms
(/ (cbrt (- y x)) (/ t z))
42.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
338 → 338
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
013593804
150013669

prune861.0ms

Filtered
338 candidates to 268 candidates (79.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3380338
Fresh033
Picked011
Done022
Total3386344

Merged error: 0b

Counts
344 → 6

regimes118.0ms

Accuracy

19.6% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.9b

bsearch77.0ms

Steps
ItersRangePoint
10
3.278345425089741e+27
6.082949099324226e+39
4.7257167554002717e+33
6
-4.1198405954876055e-191
-3.257117871555373e-192
-4.040695940269465e-191

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02914
12914

end0.0ms

sample612.0ms

Algorithm
intervals
Results
337.0ms10614×body80valid