Details

Time bar (total: 8.0s)

analyze860.0ms

Algorithm
search

sample104.0ms

Algorithm
intervals
Results
24.0ms295×body80nan
19.0ms226×body80valid
15.0ms147×body80invalid
7.0ms16×body640valid
2.0ms7×body320valid
2.0ms7×body320invalid
2.0ms4×body640invalid
2.0ms2×body1280invalid
1.0ms7×body160valid
1.0ms6×body160invalid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03010
15810
212910
331810
4107310
5500110

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.2b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b
(* y (- (log z) t))
0.8b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0b
(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:
10.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
7.0ms
(* y (- (log z) t))
12.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms
(log (- 1.0 z))

series110.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
13.0ms
(* y (- (log z) t))
42.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms
(log (- 1.0 z))

simplify67.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0657992
12473924
25001894

prune210.0ms

Filtered
83 candidates to 113 candidates (-36.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1085113
Fresh000
Picked101
Done000
Total1095114

Merged error: 0.2b

Counts
114 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.0b
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.2b
(* y (- (log z) t))
0.8b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite76.0ms

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:
19.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
19.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
7.0ms
(* y (- (log z) t))
22.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series150.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
22.0ms
(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
14.0ms
(* y (- (log z) t))
54.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify81.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06621755
127631645
250021626

prune303.0ms

Filtered
87 candidates to 135 candidates (-55.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1332135
Fresh224
Picked011
Done000
Total1355140

Merged error: 0.0b

Counts
140 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))) 3))
0.2b
(* y (- (log z) t))
0.8b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0b
(log (- 1.0 z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×log-prod
26×add-sqr-sqrt
25×*-un-lft-identity
22×associate--l+
17×distribute-rgt-in distribute-lft-in
16×add-cube-cbrt
14×cbrt-prod associate-+r+
10×associate-+l+ associate-*r/
8×pow1
7×add-exp-log
6×sub-neg flip3-- associate-*r* add-cbrt-cube flip-- add-log-exp
5×distribute-lft-out--
4×unpow-prod-down cube-prod frac-add difference-of-squares
3×associate-*l*
2×log-div exp-sum log-pow
1×+-commutative cube-mult flip3-+ pow1/3 unpow3 rem-log-exp pow-prod-down prod-exp sum-log *-commutative rem-cbrt-cube cbrt-unprod flip-+ unswap-sqr sqr-pow
Counts
4 → 111
Calls
4 calls:
8.0ms
(cbrt (pow (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))) 3))
7.0ms
(* y (- (log z) t))
12.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms
(log (- 1.0 z))

series108.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(cbrt (pow (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))) 3))
14.0ms
(* y (- (log z) t))
42.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms
(log (- 1.0 z))

simplify78.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07121221
127201166
250021136

prune230.0ms

Filtered
86 candidates to 123 candidates (-43.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1221123
Fresh123
Picked011
Done101
Total1244128

Merged error: 0.0b

Counts
128 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0b
(log (- 1.0 z))
5.0b
(log (- 1.0 z))
5.0b
(log (- 1.0 z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
31×log-prod
21×add-sqr-sqrt *-un-lft-identity
16×associate--l+
14×associate-+r+
12×distribute-rgt-in distribute-lft-in
11×add-cube-cbrt
10×associate-+l+
8×associate-*r/
7×pow1 add-exp-log flip3-- flip--
6×log-div add-log-exp
5×distribute-lft-out-- difference-of-squares
4×sub-neg frac-add add-cbrt-cube
3×rem-log-exp log-pow
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 87
Calls
4 calls:
13.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms
(log (- 1.0 z))
3.0ms
(log (- 1.0 z))
4.0ms
(log (- 1.0 z))

series50.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms
(log (- 1.0 z))
3.0ms
(log (- 1.0 z))
3.0ms
(log (- 1.0 z))

simplify50.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0502830
11690790
25001789

prune318.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done011
Total994103

Merged error: 0.0b

Counts
103 → 4

regimes866.0ms

Accuracy

68.4% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 2.1b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05131
16231
27431
38431
48431

end0.0ms

analyze859.0ms

Algorithm
search

sample3.3s

Algorithm
intervals
Results
858.0ms10402×body80nan
793.0ms7218×body80valid
420.0ms5065×body80invalid
114.0ms262×body640valid
76.0ms268×body320valid
49.0ms60×body1280valid
48.0ms107×body640invalid
37.0ms129×body320invalid
34.0ms192×body160valid
16.0ms96×body160invalid
14.0ms18×body1280invalid

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