Details

Time bar (total: 2.5s)

sample42.0ms

Algorithm
intervals
Results
14.0ms285×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

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: 8.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
7.8b
(/ (* x (- y z)) (- t z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* x (- y z))
8.0ms
(/ (* x (- y z)) (- t z))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (- y z))
16.0ms
(/ (* x (- y z)) (- t z))

simplify34.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune96.0ms

Filtered
61 candidates to 40 candidates (34.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New53861
Fresh000
Picked101
Done000
Total54862

Merged error: 0.0b

Counts
62 → 8

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
10.0ms
(/ (- t z) (- y z))
20.0ms
(/ x (/ (- t z) (- y z)))

series36.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- t z) (- y z))
27.0ms
(/ x (/ (- t z) (- y z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06331784
128631733
250011730

prune150.0ms

Filtered
200 candidates to 133 candidates (33.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1964200
Fresh437
Picked101
Done000
Total2017208

Merged error: 0b

Counts
208 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 194
Calls
4 calls:
5.0ms
(/ z (- y z))
26.0ms
(- (/ t (- y z)) (/ z (- y z)))
5.0ms
(/ t (- y z))
27.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ z (- y z))
14.0ms
(- (/ t (- y z)) (/ z (- y z)))
7.0ms
(/ t (- y z))
35.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify57.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05091610
119111560
250011544

prune166.0ms

Filtered
206 candidates to 152 candidates (26.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2060206
Fresh066
Picked011
Done000
Total2067213

Merged error: 0b

Counts
213 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))
1.4b
(/ (cbrt x) (/ (- t z) (- y z)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
703×times-frac
547×add-sqr-sqrt
536×*-un-lft-identity
276×add-cube-cbrt
197×cbrt-prod
191×associate-*r*
130×distribute-lft-out-- difference-of-squares
31×associate-/r*
30×add-exp-log
28×associate-/r/
18×add-cbrt-cube
15×div-inv
13×flip3-- flip--
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
6×associate-/l*
5×unswap-sqr
4×add-log-exp
3×pow-prod-down
2×pow1/3
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 480
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
46.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))
14.0ms
(/ (cbrt x) (/ (- t z) (- y z)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
23.0ms
(cbrt x)
29.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))
106.0ms
(/ (cbrt x) (/ (- t z) (- y z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
492 → 492
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
015945694
150015587

prune334.0ms

Filtered
492 candidates to 341 candidates (30.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New4920492
Fresh055
Picked011
Done011
Total4927499

Merged error: 0b

Counts
499 → 7

regimes268.0ms

Accuracy

-16.3% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.0b

bsearch23.0ms

Steps
ItersRangePoint
2
2.779613225104366e+62
3.1737415200926457e+62
2.8288792619779006e+62
10
-2.8891840462097886e-293
-4.491937786755957e-305
-4.654924572373237e-300

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02912
13312
23412
33412

end0.0ms

sample605.0ms

Algorithm
intervals
Results
244.0ms8775×body80valid

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