Details

Time bar (total: 2.8s)

sample19.0ms

Algorithm
intervals
Results
9.0ms273×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3784
41164
51414
61624
71754
81834
91874
101914
113024
123404
133664
144644
155334
166154
177214
188154
198244
208244

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)

rewrite25.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
8.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series138.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (- z y))
91.0ms
(* (/ (- x y) (- z y)) t)

simplify97.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune208.0ms

Filtered
112 candidates to 76 candidates (67.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1066112
Fresh000
Picked011
Done000
Total1067113

Merged error: 0.0b

Counts
113 → 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)

rewrite39.0ms

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 expm1-log1p-u rec-exp 1-exp log1p-expm1-u 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 → 125
Calls
3 calls:
6.0ms
(/ 1 (- z y))
13.0ms
(* (- x y) (/ 1 (- z y)))
13.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series176.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- z y))
46.0ms
(* (- x y) (/ 1 (- z y)))
94.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify51.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0402702
11906585
25003543

prune213.0ms

Filtered
134 candidates to 78 candidates (58.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh055
Picked011
Done011
Total1347141

Merged error: 0.0b

Counts
141 → 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)

rewrite48.0ms

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×expm1-log1p-u associate-*l/ log1p-expm1-u 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 → 92
Calls
4 calls:
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
35.0ms
(* (* (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))) (/ (cbrt (- x y)) (cbrt (- z y)))) t)

series521.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- z y))
140.0ms
(cbrt (- z y))
142.0ms
(cbrt (- z y))
94.0ms
(* (* (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))) (/ (cbrt (- x y)) (cbrt (- z y)))) t)

simplify73.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05301333
12562955
25003784

prune296.0ms

Filtered
104 candidates to 72 candidates (69.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh044
Picked011
Done022
Total1047111

Merged error: 0.0b

Counts
111 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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 expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 48
Calls
1 calls:
13.0ms
(* (- x y) (/ t (- z y)))

series64.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0269295
11238268
25001268

prune96.0ms

Filtered
51 candidates to 36 candidates (70.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New50151
Fresh123
Picked011
Done123
Total52658

Merged error: 0b

Counts
58 → 6

regimes128.0ms

Accuracy

1.4% (2.3b remaining)

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

bsearch68.0ms

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

sample444.0ms

Algorithm
intervals
Results
228.0ms8725×body80valid