Details

Time bar (total: 2.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms273×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

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: 2.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.9b
(* (/ (- x y) (- z y)) t)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series143.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- x y) (- z y))
94.0ms
(* (/ (- x y) (- z y)) t)

simplify97.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune207.0ms

Filtered
108 candidates to 72 candidates (66.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh000
Picked011
Done000
Total1027109

Merged error: 0.0b

Counts
109 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
1.9b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- z y))
13.0ms
(* (- x y) (/ 1 (- z y)))
12.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series182.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- z y))
47.0ms
(* (- x y) (/ 1 (- z y)))
97.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify50.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0392675
11893558
25001516

prune201.0ms

Filtered
128 candidates to 72 candidates (56.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh145
Picked011
Done011
Total1287135

Merged error: 0.0b

Counts
135 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
1.9b
(* (* (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))) (/ (cbrt (- x y)) (cbrt (- z y)))) t)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
31×add-cbrt-cube
29×prod-exp cbrt-unprod
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×cbrt-undiv div-exp
9×pow1
8×add-cube-cbrt
6×cbrt-div
4×associate-*l/ add-log-exp
3×flip3-- pow1/3 associate-*r* pow-prod-down flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*r/ associate-*l* *-commutative
Counts
4 → 84
Calls
4 calls:
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
32.0ms
(* (* (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))) (/ (cbrt (- x y)) (cbrt (- z y)))) t)

series531.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- z y))
147.0ms
(cbrt (- z y))
147.0ms
(cbrt (- z y))
94.0ms
(* (* (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))) (/ (cbrt (- x y)) (cbrt (- z y)))) t)

simplify94.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
05221277
12533899
25003740

prune261.0ms

Filtered
96 candidates to 64 candidates (66.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh044
Picked011
Done022
Total967103

Merged error: 0.0b

Counts
103 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

10.3b
(* (- x y) (/ t (- z y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×associate-*r*
19×*-un-lft-identity
16×times-frac
11×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*l*
4×distribute-lft-out-- difference-of-squares
3×pow1 flip3-- flip--
2×frac-times associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
12.0ms
(* (- x y) (/ t (- z y)))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* (- x y) (/ t (- z y)))

simplify35.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0263286
11222259
25001259

prune91.0ms

Filtered
49 candidates to 34 candidates (69.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New48149
Fresh123
Picked011
Done123
Total50656

Merged error: 0b

Counts
56 → 6

regimes128.0ms

Accuracy

1.4% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.4b

bsearch64.0ms

Steps
ItersRangePoint
9
3.3258358535901817e-211
8.260887290538425e-206
5.210447158835945e-206
8
-1.8924915151658963e+19
-8893382635004147.0
-1.0446983083863608e+17

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

sample475.0ms

Algorithm
intervals
Results
245.0ms8725×body80valid