Details

Time bar (total: 7.5s)

sample117.0ms

Algorithm
intervals
Results
44.0ms814×body80nan
13.0ms169×body80valid
8.0ms26×body640valid
8.0ms13×body1280valid
6.0ms28×body320valid
3.0ms21×body160valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0227
1386
2536
3616
4786
51106
61756
72846
83636
93926
104766
114766

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.3b

Counts
2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.1b
(fma (log y) x (- (* z (log (- 1.0 y))) t))
6.6b
(log (- 1.0 y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×log-prod
14×*-un-lft-identity
8×add-cube-cbrt
7×pow1
6×add-exp-log
5×distribute-rgt-in distribute-lft-in add-cbrt-cube
4×associate-*r*
3×expm1-log1p-u associate-*l* log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×log-div log-pow
1×flip3-- rem-log-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
3 → 59
Calls
3 calls:
6.0ms
(* z (log (- 1.0 y)))
1.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
4.0ms
(log (- 1.0 y))

series219.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* z (log (- 1.0 y)))
115.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
41.0ms
(log (- 1.0 y))

simplify105.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0332427
11128376
24553369
35001366

prune189.0ms

Filtered
68 candidates to 52 candidates (76.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New64468
Fresh011
Picked101
Done000
Total65570

Merged error: 0.1b

Counts
70 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b
(- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)
0.0b
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.1b
(fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
111×add-sqr-sqrt
80×times-frac
76×*-un-lft-identity
74×associate-*r*
73×add-cube-cbrt
56×unpow-prod-down
51×prod-diff
46×associate--l+
34×distribute-rgt-in distribute-lft-in
29×add-exp-log
24×unpow2 sqr-pow
21×pow1
18×unswap-sqr
13×log-pow
12×log-prod
11×prod-exp add-cbrt-cube
9×div-exp
6×pow-to-exp associate-*l* pow-exp add-log-exp
5×sub-neg
4×expm1-log1p-u log1p-expm1-u
3×associate-*r/ cbrt-unprod
2×flip3-- pow-prod-down *-commutative flip-- distribute-lft-out--
1×cbrt-undiv fma-neg diff-log fma-udef div-inv difference-of-squares
Counts
4 → 233
Calls
4 calls:
19.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
12.0ms
(- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)
10.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
1.0ms
(fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

series519.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
176.0ms
(- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)
129.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
158.0ms
(fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

simplify116.0ms

Algorithm
egg-herbie
Counts
245 → 245
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
09363375
138932186
250012179

prune682.0ms

Filtered
245 candidates to 149 candidates (60.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2432245
Fresh134
Picked011
Done000
Total2446250

Merged error: 0.1b

Counts
250 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1.0 (* z y) t)
0.1b
(fma (log y) x (fma z (log 1.0) (- (fma 1.0 (* z y) t))))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma 1.0 (* z y) t)
1.0ms
(fma (log y) x (fma z (log 1.0) (- (fma 1.0 (* z y) t))))

series152.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(fma 1.0 (* z y) t)
117.0ms
(fma (log y) x (fma z (log 1.0) (- (fma 1.0 (* z y) t))))

simplify81.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
059158
1152137
2512137
32921137
45001137

prune88.0ms

Filtered
26 candidates to 22 candidates (84.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh044
Picked011
Done011
Total26632

Merged error: 0.1b

Counts
32 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (log y) x (- (* z (log (- 1.0 y))) t)))
6.6b
(log (- 1.0 y))
6.6b
(log (- 1.0 y))
6.6b
(log (- 1.0 y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×log-prod
14×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×pow1 add-exp-log
6×log-div
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod flip3-- rem-log-exp log-pow flip-- distribute-lft-out-- difference-of-squares
1×pow1/3
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt (fma (log y) x (- (* z (log (- 1.0 y))) t)))
4.0ms
(log (- 1.0 y))
7.0ms
(log (- 1.0 y))
4.0ms
(log (- 1.0 y))

series1.1s

Counts
4 → 12
Calls
4 calls:
999.0ms
(cbrt (fma (log y) x (- (* z (log (- 1.0 y))) t)))
41.0ms
(log (- 1.0 y))
45.0ms
(log (- 1.0 y))
42.0ms
(log (- 1.0 y))

simplify68.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0257514
1669465
22473455
35001448

prune291.0ms

Filtered
79 candidates to 65 candidates (82.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New76379
Fresh033
Picked011
Done022
Total76985

Merged error: 0.1b

Counts
85 → 9

regimes187.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312
12312

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.3s24202×body80nan
348.0ms5530×body80valid
322.0ms935×body640valid
257.0ms391×body1280valid
152.0ms713×body320valid
60.0ms459×body160valid

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