Details

Time bar (total: 12.8s)

sample194.0ms

Algorithm
intervals
Results
81.0ms1405×body80nan
25.0ms395×body80valid
7.0ms18×body640valid
4.0ms5×body1280valid
3.0ms12×body320valid
2.0ms11×body160valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03010
15810
212910
331810
4107310
5500110

prune4.0ms

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: 3.7b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b
(* y (- (log z) t))
0.5b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.0b
(log (- 1.0 z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
27×log-prod
24×add-sqr-sqrt
23×*-un-lft-identity
22×associate--l+
17×distribute-rgt-in distribute-lft-in
14×add-cube-cbrt associate-+r+
10×associate-+l+ associate-*r/
9×add-log-exp
8×pow1
7×add-exp-log
6×sub-neg flip3-- associate-*r* add-cbrt-cube flip--
5×distribute-lft-out--
4×frac-add difference-of-squares
3×exp-prod associate-*l*
2×log-div sum-log log-pow rem-exp-log
1×+-commutative flip3-+ rem-log-exp exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 101
Calls
4 calls:
9.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
8.0ms
(* y (- (log z) t))
13.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms
(log (- 1.0 z))

series443.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
68.0ms
(* y (- (log z) t))
190.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
44.0ms
(log (- 1.0 z))

simplify68.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0630971
12443914
25001902

prune376.0ms

Filtered
113 candidates to 84 candidates (74.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1094113
Fresh000
Picked101
Done000
Total1104114

Merged error: 0.5b

Counts
114 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.1b
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.2b
(* y (- (log z) t))
0.5b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
44×associate--l+
27×*-un-lft-identity
25×add-sqr-sqrt
24×distribute-rgt-in log-prod distribute-lft-in
17×add-cube-cbrt
14×associate-+r+
13×associate-*r*
12×sub-neg associate-*r/
10×pow1 associate-+l+
9×add-log-exp
8×add-exp-log add-cbrt-cube
7×distribute-lft-out--
6×flip3-- associate-*l* flip--
4×frac-add
3×exp-prod
2×pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod rem-exp-log difference-of-squares unswap-sqr
1×+-commutative flip3-+ exp-sum flip-+
Counts
4 → 123
Calls
4 calls:
20.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
19.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
8.0ms
(* y (- (log z) t))
26.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series585.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
164.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
74.0ms
(* y (- (log z) t))
245.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify86.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06451743
128101639
250021630

prune495.0ms

Filtered
135 candidates to 89 candidates (65.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1332135
Fresh123
Picked101
Done000
Total1354139

Merged error: 0.0b

Counts
139 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
0.2b
(sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
0.5b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.5b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
44×associate--l+
28×associate-+r+
24×distribute-rgt-in log-prod distribute-lft-in
20×associate-+l+
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity associate-*r/
12×sub-neg
8×flip3-- sqrt-pow1 frac-add sqrt-prod flip-- add-log-exp
6×pow1 exp-prod
4×add-exp-log add-cbrt-cube
2×+-commutative rem-sqrt-square flip3-+ pow1/2 exp-sum sum-log flip-+
Counts
4 → 112
Calls
4 calls:
21.0ms
(sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
17.0ms
(sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
22.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
22.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series1.0s

Counts
4 → 12
Calls
4 calls:
279.0ms
(sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
280.0ms
(sqrt (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
243.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
238.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify66.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04872362
117742262
250032252

prune766.0ms

Filtered
124 candidates to 102 candidates (82.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1222124
Fresh123
Picked011
Done000
Total1235128

Merged error: 0.0b

Counts
128 → 5

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.5b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.5b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.5b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
88×associate--l+
56×associate-+r+
48×distribute-rgt-in log-prod distribute-lft-in
40×associate-+l+
32×associate-*r/
24×sub-neg
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×flip3-- frac-add flip--
12×add-log-exp
4×pow1 add-exp-log +-commutative flip3-+ sum-log add-cbrt-cube flip-+
Counts
4 → 156
Calls
4 calls:
23.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
24.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
27.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
24.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series1.2s

Counts
4 → 12
Calls
4 calls:
456.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
249.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
255.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
257.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify72.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04033328
114543192
250013172

prune1.2s

Filtered
168 candidates to 136 candidates (81.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1680168
Fresh033
Picked011
Done011
Total1685173

Merged error: 0.0b

Counts
173 → 5

regimes296.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03434
13434

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.4s41978×body80nan
803.0ms12641×body80valid
130.0ms367×body640valid
95.0ms420×body320valid
43.0ms61×body1280valid
35.0ms257×body160valid

Profiling

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