Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
10.0ms320×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

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: 5.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
4.9b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
33×*-un-lft-identity
23×times-frac
14×add-cube-cbrt
10×associate-*r*
8×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1
3×associate-*r/ associate-*l* associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative frac-sub cbrt-unprod div-inv unswap-sqr
Counts
2 → 69
Calls
2 calls:
5.0ms
(/ t (- 1.0 z))
24.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series82.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ t (- 1.0 z))
45.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify39.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0346447
11353419
25001417

prune175.0ms

Filtered
75 candidates to 53 candidates (70.7%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New621375
Fresh000
Picked011
Done000
Total621476

Merged error: 0.8b

Counts
76 → 14

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.4b
(/ 1 (/ (- 1.0 z) t))
4.9b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
151×times-frac
138×add-sqr-sqrt
114×*-un-lft-identity
71×add-cube-cbrt
26×difference-of-squares
22×associate-/r*
19×distribute-lft-out--
18×add-exp-log
16×associate-*r*
12×add-cbrt-cube
8×div-exp associate-/l*
7×div-inv
6×pow1
4×cbrt-undiv
3×associate-*r/ associate-*l* add-log-exp
2×distribute-rgt-in sub-neg rec-exp flip3-- frac-2neg distribute-lft-in 1-exp clear-num flip-- associate-/l/
1×pow-flip div-sub pow-prod-down prod-exp associate-/r/ *-commutative frac-sub cbrt-unprod inv-pow unswap-sqr
Counts
3 → 176
Calls
3 calls:
6.0ms
(/ (- 1.0 z) t)
8.0ms
(/ 1 (/ (- 1.0 z) t))
47.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series111.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (- 1.0 z) t)
26.0ms
(/ 1 (/ (- 1.0 z) t))
52.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify82.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06941329
132241081
250011078

prune286.0ms

Filtered
185 candidates to 99 candidates (53.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1814185
Fresh7512
Picked101
Done101
Total1909199

Merged error: 0.0b

Counts
199 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.2b
(/ (/ 1 (- 1.0 z)) (/ 1 t))
4.9b
(* x (- (/ y z) (/ (/ 1 (- 1.0 z)) (/ 1 t))))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
756×times-frac
469×add-sqr-sqrt
413×*-un-lft-identity
295×add-cube-cbrt
66×difference-of-squares
51×distribute-lft-out--
49×add-exp-log
42×div-inv
34×div-exp
31×associate-/r/
28×associate-*r*
24×associate-/l*
19×add-cbrt-cube
18×associate-/r*
16×flip3-- flip--
9×cbrt-undiv rec-exp 1-exp
6×pow1
3×associate-*r/ associate-*l* add-log-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num
1×pow-flip pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod associate-/l/ inv-pow unswap-sqr
Counts
3 → 430
Calls
3 calls:
5.0ms
(/ 1 (- 1.0 z))
16.0ms
(/ (/ 1 (- 1.0 z)) (/ 1 t))
162.0ms
(* x (- (/ y z) (/ (/ 1 (- 1.0 z)) (/ 1 t))))

series105.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ 1 (- 1.0 z))
27.0ms
(/ (/ 1 (- 1.0 z)) (/ 1 t))
54.0ms
(* x (- (/ y z) (/ (/ 1 (- 1.0 z)) (/ 1 t))))

simplify93.0ms

Algorithm
egg-herbie
Counts
439 → 439
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
019454647
150014027

prune612.0ms

Filtered
439 candidates to 197 candidates (44.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4381439
Fresh268
Picked011
Done000
Total4408448

Merged error: 0.0b

Counts
448 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1.0 t) (/ z t))
0.4b
(/ 1 (- (/ 1.0 t) (/ z t)))
4.9b
(* x (- (/ y z) (/ 1 (- (/ 1.0 t) (/ z t)))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
111×add-sqr-sqrt
97×times-frac
86×*-un-lft-identity
32×add-cube-cbrt
26×difference-of-squares
25×distribute-lft-out--
13×associate-*r*
12×associate-/r* div-inv
9×add-exp-log
7×add-cbrt-cube
6×pow1
5×distribute-rgt-out-- add-log-exp
4×associate-/r/
3×sub-neg flip3-- associate-*r/ associate-*l* frac-sub flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in div-exp sub-div
1×cbrt-undiv rec-exp pow-flip frac-2neg diff-log 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
3 → 129
Calls
3 calls:
12.0ms
(- (/ 1.0 t) (/ z t))
14.0ms
(/ 1 (- (/ 1.0 t) (/ z t)))
46.0ms
(* x (- (/ y z) (/ 1 (- (/ 1.0 t) (/ z t)))))

series124.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- (/ 1.0 t) (/ z t))
44.0ms
(/ 1 (- (/ 1.0 t) (/ z t)))
52.0ms
(* x (- (/ y z) (/ 1 (- (/ 1.0 t) (/ z t)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05091077
12138940
25001939

prune205.0ms

Filtered
138 candidates to 79 candidates (57.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh066
Picked011
Done011
Total1388146

Merged error: 0.0b

Counts
146 → 8

regimes190.0ms

Accuracy

67.6% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 4.7b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03723
13723

end0.0ms

sample605.0ms

Algorithm
intervals
Results
346.0ms10153×body80valid

Profiling

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