Details

Time bar (total: 4.9s)

sample54.0ms

Algorithm
intervals
Results
14.0ms299×body80valid
11.0ms269×body80nan

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0308
1858
22738
38008
421238
550018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a 0.5) b)
0.0b
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b
(- (+ (+ x y) z) (* z (log t)))
0.3b
(* z (log t))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
27×add-log-exp
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt log-prod
10×sum-log
9×pow1
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×distribute-rgt-in flip3-- distribute-lft-in diff-log associate-*l/ flip-- associate--r+
4×frac-add
3×associate-+l+
2×sub-neg pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+l- flip3-+ log-pow flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
9.0ms
(* (- a 0.5) b)
11.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
9.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series239.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (- a 0.5) b)
139.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
34.0ms
(- (+ (+ x y) z) (* z (log t)))
37.0ms
(* z (log t))

simplify78.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0540767
12622717
25003712

prune298.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- z (* z (log t))) (* (- a 0.5) b))
0.0b
(* (- a 0.5) b)
0.2b
(- z (* z (log t)))
0.3b
(* z (log t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt log-prod
11×add-log-exp
9×pow1
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×distribute-rgt-in flip3-- distribute-lft-in associate-*l/ flip-- associate--r+
4×frac-add
2×sub-neg associate-+l+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+l- flip3-+ log-pow flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 84
Calls
4 calls:
6.0ms
(+ (- z (* z (log t))) (* (- a 0.5) b))
6.0ms
(* (- a 0.5) b)
3.0ms
(- z (* z (log t)))
4.0ms
(* z (log t))

series184.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ (- z (* z (log t))) (* (- a 0.5) b))
33.0ms
(* (- a 0.5) b)
43.0ms
(- z (* z (log t)))
40.0ms
(* z (log t))

simplify66.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0477594
12041551
25003542

prune310.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- z (+ (* z (log (sqrt t))) (* z (log (sqrt t))))) (* (- a 0.5) b))
0.2b
(- z (+ (* z (log (sqrt t))) (* z (log (sqrt t)))))
0.3b
(* z (log (sqrt t)))
0.3b
(* z (log (sqrt t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
22×add-sqr-sqrt
18×*-un-lft-identity add-log-exp
16×add-cube-cbrt
12×pow1 distribute-rgt-in distribute-lft-in associate-*r* sqrt-prod
8×add-exp-log add-cbrt-cube
6×associate-*l* log-pow
5×flip3-- sum-log flip--
4×diff-log associate-*l/ frac-add
2×sub-neg associate-+l+ sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+l- flip3-+ flip-+ associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 102
Calls
4 calls:
10.0ms
(+ (- z (+ (* z (log (sqrt t))) (* z (log (sqrt t))))) (* (- a 0.5) b))
6.0ms
(- z (+ (* z (log (sqrt t))) (* z (log (sqrt t)))))
6.0ms
(* z (log (sqrt t)))
6.0ms
(* z (log (sqrt t)))

series450.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(+ (- z (+ (* z (log (sqrt t))) (* z (log (sqrt t))))) (* (- a 0.5) b))
118.0ms
(- z (+ (* z (log (sqrt t))) (* z (log (sqrt t)))))
94.0ms
(* z (log (sqrt t)))
87.0ms
(* z (log (sqrt t)))

simplify68.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05111163
121371026
250021004

prune351.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (- a 0.5) b) (* (log (sqrt t)) (+ z z)))
0.0b
(* (- a 0.5) b)
0.1b
(+ z (- (* (- a 0.5) b) (* (log (sqrt t)) (+ z z))))
0.3b
(* (log (sqrt t)) (+ z z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
15×associate-*r*
12×add-cube-cbrt
11×associate-*l* add-log-exp
10×pow1
8×add-exp-log add-cbrt-cube
6×associate-*r/ associate-*l/
4×flip3-- flip3-+ frac-sub flip-- flip-+ distribute-lft-out
3×distribute-rgt-out log-pow
2×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod associate--r+ unswap-sqr
1×+-commutative associate-+r- distribute-lft1-in sqrt-pow1 pow1/2 count-2 distribute-rgt1-in distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
6.0ms
(- (* (- a 0.5) b) (* (log (sqrt t)) (+ z z)))
6.0ms
(* (- a 0.5) b)
6.0ms
(+ z (- (* (- a 0.5) b) (* (log (sqrt t)) (+ z z))))
12.0ms
(* (log (sqrt t)) (+ z z))

series484.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (* (- a 0.5) b) (* (log (sqrt t)) (+ z z)))
33.0ms
(* (- a 0.5) b)
79.0ms
(+ z (- (* (- a 0.5) b) (* (log (sqrt t)) (+ z z))))
297.0ms
(* (log (sqrt t)) (+ z z))

simplify92.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0537747
12281661
25003637

prune321.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes246.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02210
12210

end0.0ms

sample1.4s

Algorithm
intervals
Results
437.0ms9219×body80valid
363.0ms9090×body80nan
0.0ms1×body640valid
0.0ms1×body160valid