Details

Time bar (total: 9.3s)

sample165.0ms

Algorithm
intervals
Results
67.0ms1233×body80nan
25.0ms432×body80valid
3.0ms10×body640valid
2.0ms2×body1280valid
1.0ms5×body320valid
1.0ms7×body160valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03010
15810
212910
331810
4107310
5500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0b
(* a (- (log (- 1.0 z)) b))
0.1b
(* y (- (log z) t))
6.1b
(log (- 1.0 z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
37×log-prod
35×add-sqr-sqrt
33×*-un-lft-identity
32×associate--l+
24×distribute-rgt-in distribute-lft-in
17×add-cube-cbrt
14×associate-+r+
12×associate-*r/ associate-*r*
11×pow1
10×associate-+l+
9×add-exp-log distribute-lft-out--
8×sub-neg add-cbrt-cube
7×flip3-- flip-- difference-of-squares
6×associate-*l* add-log-exp
4×frac-add
3×log-pow
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ rem-log-exp sum-log flip-+
Counts
4 → 125
Calls
4 calls:
12.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
9.0ms
(* a (- (log (- 1.0 z)) b))
7.0ms
(* y (- (log z) t))
3.0ms
(log (- 1.0 z))

series379.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
75.0ms
(* a (- (log (- 1.0 z)) b))
69.0ms
(* y (- (log z) t))
48.0ms
(log (- 1.0 z))

simplify79.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06781058
12743995
25002986

prune447.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a b) (* 1.0 (* a z)))
0.0b
(* x (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))))
0.0b
(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))
0.1b
(* y (- (log z) t))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×log-prod associate--l+
17×*-un-lft-identity
15×add-log-exp
14×add-cube-cbrt
13×distribute-rgt-in distribute-lft-in
10×associate-+l+ associate-*r*
9×pow1
8×associate-+r+ add-cbrt-cube
7×add-exp-log associate-*r/
6×associate-*l*
5×sub-neg flip3-- sum-log flip--
4×frac-add
2×+-commutative associate-+r- flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out-- unswap-sqr
1×exp-diff exp-sum log-pow difference-of-squares
Counts
4 → 100
Calls
4 calls:
4.0ms
(+ (* a b) (* 1.0 (* a z)))
14.0ms
(* x (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))))
14.0ms
(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))
10.0ms
(* y (- (log z) t))

series432.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (* a b) (* 1.0 (* a z)))
163.0ms
(* x (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))))
149.0ms
(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))
71.0ms
(* y (- (log z) t))

simplify82.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06481279
130121167
250021153

prune391.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* x (* (cbrt (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z))))))) (cbrt (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z))))))))) (cbrt (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z))))))))
0.1b
(* y (- (log z) t))
0.1b
(* y (- (log z) t))
0.1b
(* y (- (log z) t))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
27×*-un-lft-identity
25×associate-*r*
22×pow1
19×add-exp-log
18×add-cube-cbrt log-prod associate--l+
15×distribute-rgt-in distribute-lft-in associate-*r/
14×add-cbrt-cube
12×associate-+r- cbrt-div exp-diff
10×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
6×sub-neg distribute-lft-out--
5×frac-times associate-*l/
4×cbrt-prod *-commutative add-log-exp
3×flip3-- log-pow flip-- difference-of-squares unswap-sqr
1×exp-sum
Counts
4 → 131
Calls
4 calls:
35.0ms
(* (* x (* (cbrt (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z))))))) (cbrt (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z))))))))) (cbrt (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z))))))))
7.0ms
(* y (- (log z) t))
7.0ms
(* y (- (log z) t))
7.0ms
(* y (- (log z) t))

series383.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (* x (* (cbrt (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z))))))) (cbrt (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z))))))))) (cbrt (exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z))))))))
71.0ms
(* y (- (log z) t))
72.0ms
(* y (- (log z) t))
73.0ms
(* y (- (log z) t))

simplify56.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04202067
117021623
250021460

prune535.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a b) (* 1.0 (* a z)))
0.1b
(* y (- (log z) t))
0.6b
(+ (* y (- (log z) t)) (- (* a (log 1.0)) (log (exp (+ (* a b) (* 1.0 (* a z)))))))
3.3b
(log (exp (+ (* a b) (* 1.0 (* a z)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
18×add-sqr-sqrt associate--l+
17×*-un-lft-identity
14×add-cube-cbrt
13×distribute-rgt-in distribute-lft-in
10×associate-+l+ add-log-exp
8×pow1 associate-+r+
6×add-exp-log associate-*r/ associate-*r* add-cbrt-cube
5×sub-neg flip3-- log-pow flip--
4×frac-add
3×exp-prod associate-*l* sum-log
2×+-commutative flip3-+ flip-+ distribute-lft-out--
1×associate-+r- diff-log rem-log-exp exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 95
Calls
4 calls:
4.0ms
(+ (* a b) (* 1.0 (* a z)))
7.0ms
(* y (- (log z) t))
15.0ms
(+ (* y (- (log z) t)) (- (* a (log 1.0)) (log (exp (+ (* a b) (* 1.0 (* a z)))))))
4.0ms
(log (exp (+ (* a b) (* 1.0 (* a z)))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ (* a b) (* 1.0 (* a z)))
73.0ms
(* y (- (log z) t))
146.0ms
(+ (* y (- (log z) t)) (- (* a (log 1.0)) (log (exp (+ (* a b) (* 1.0 (* a z)))))))
47.0ms
(log (exp (+ (* a b) (* 1.0 (* a z)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05691085
125261022
250011014

prune428.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.0b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03242
13242

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.1s40619×body80nan
749.0ms12564×body80valid
127.0ms367×body640valid
77.0ms371×body320valid
44.0ms63×body1280valid
33.0ms256×body160valid