Details

Time bar (total: 4.3s)

sample24.0ms

Algorithm
intervals
Results
12.0ms276×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0205
1364
2594
31034
41734
52364
62654
73114
83754
95114
106744
1111794
1213004
1313084
1413084

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 2.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
8.0ms
(/ (- z t) (- a t))
1.0ms
(fma y (/ (- z t) (- a t)) x)

series115.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z t) (- a t))
69.0ms
(fma y (/ (- z t) (- a t)) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0258433
1707410
22404410
35003410

prune170.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New601070
Fresh000
Picked011
Done000
Total601171

Merged error: 1.1b

Counts
71 → 11

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.5b
(/ 1 (/ (- a t) (- z t)))
1.9b
(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
8.0ms
(/ (- a t) (- z t))
12.0ms
(/ 1 (/ (- a t) (- z t)))
1.0ms
(fma y (/ 1 (/ (- a t) (- z t))) x)

series344.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (- a t) (- z t))
128.0ms
(/ 1 (/ (- a t) (- z t)))
170.0ms
(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify79.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06201891
127621708
250021537

prune333.0ms

Filtered
223 candidates to 105 candidates (47.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2221223
Fresh279
Picked011
Done011
Total22410234

Merged error: 1.1b

Counts
234 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.3b
(/ y (/ (- a t) (- z t)))

rewrite31.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
8.0ms
(/ (- a t) (- z t))
12.0ms
(/ y (/ (- a t) (- z t)))

series187.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- a t) (- z t))
140.0ms
(/ y (/ (- a t) (- z t)))

simplify72.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06421801
128861748
250011745

prune401.0ms

Filtered
204 candidates to 138 candidates (67.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1995204
Fresh707
Picked011
Done112
Total2077214

Merged error: 0b

Counts
214 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.3b
(/ 1 (/ (/ (- a t) (- z t)) y))
2.3b
(/ (/ (- a t) (- z t)) y)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp div-sub clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 617
Calls
3 calls:
8.0ms
(/ (- a t) (- z t))
28.0ms
(/ 1 (/ (/ (- a t) (- z t)) y))
13.0ms
(/ (/ (- a t) (- z t)) y)

series283.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- a t) (- z t))
155.0ms
(/ 1 (/ (/ (- a t) (- z t)) y))
80.0ms
(/ (/ (- a t) (- z t)) y)

simplify109.0ms

Algorithm
egg-herbie
Counts
626 → 626
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
017717394
150026728

prune1.1s

Filtered
626 candidates to 349 candidates (55.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New6251626
Fresh134
Picked011
Done112
Total6276633

Merged error: 0b

Counts
633 → 6

regimes152.0ms

Accuracy

50.7% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.2b

bsearch66.0ms

Steps
ItersRangePoint
7
1.3221496116190995e-126
6.267578319043112e-125
1.4339579110756609e-126
7
-4.689804718494003e-55
-8.659375135041677e-57
-1.7454730071063263e-55

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911
12911

end0.0ms

sample596.0ms

Algorithm
intervals
Results
321.0ms8719×body80valid
0.0ms1×body2560valid
0.0ms1×body640valid

Profiling

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