Details

Time bar (total: 5.4s)

sample73.0ms

Algorithm
intervals
Results
21.0ms239×body80nan
21.0ms256×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05017
110817
238917
3176117
4500217

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.8b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.3b
(/ (* z (sqrt (+ t a))) t)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
63×prod-diff
62×associate--r+
49×add-sqr-sqrt
45×add-cube-cbrt
36×times-frac
31×distribute-rgt-in distribute-lft-in
20×frac-sub
16×add-exp-log add-cbrt-cube
15×distribute-lft-out
12×div-inv
9×flip3-- flip--
8×frac-times associate-*r/
7×fma-neg associate-*r*
6×pow1 add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv expm1-log1p-u sqrt-div div-exp associate-/r* log1p-expm1-u associate-/l*
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 179
Calls
4 calls:
12.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
42.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series333.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
174.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms
(/ (* z (sqrt (+ t a))) t)

simplify56.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013772637
150012324

prune909.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (+ t a)) t)
0.3b
(/ 2.0 (* t 3.0))
0.3b
(/ 2.0 (* t 3.0))
2.1b
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
27×times-frac
24×add-sqr-sqrt add-cube-cbrt
16×add-exp-log sqrt-prod add-cbrt-cube
13×associate-/l*
5×cbrt-undiv div-exp associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u distribute-lft-out add-log-exp
3×frac-2neg clear-num div-inv
2×sqrt-div prod-exp cbrt-unprod associate-/l/
1×flip3-+ flip-+ fma-udef
Counts
4 → 103
Calls
4 calls:
8.0ms
(/ (sqrt (+ t a)) t)
3.0ms
(/ 2.0 (* t 3.0))
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ (sqrt (+ t a)) t)
16.0ms
(/ 2.0 (* t 3.0))
15.0ms
(/ 2.0 (* t 3.0))
209.0ms
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify38.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0378688
11172613
25001603

prune616.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.8333333333333334 c) (* a b))
0.0b
(- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))
0.3b
(/ 2.0 (* t 3.0))
0.8b
(fma c a (- (* 0.8333333333333334 c) (* a b)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
29×prod-diff
24×add-sqr-sqrt
22×add-cube-cbrt
15×times-frac
11×add-log-exp
9×add-exp-log add-cbrt-cube distribute-lft-out
5×fma-neg div-inv
4×pow1 expm1-log1p-u log1p-expm1-u
3×diff-log associate-/l*
2×cbrt-undiv sub-neg flip3-- div-exp frac-sub flip-- distribute-lft-out--
1×frac-2neg flip3-+ prod-exp associate--l+ clear-num associate-/r* sum-log cbrt-unprod flip-+ fma-udef difference-of-squares
Counts
4 → 102
Calls
4 calls:
3.0ms
(- (* 0.8333333333333334 c) (* a b))
71.0ms
(- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma c a (- (* 0.8333333333333334 c) (* a b)))

series117.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* 0.8333333333333334 c) (* a b))
21.0ms
(- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))
16.0ms
(/ 2.0 (* t 3.0))
42.0ms
(fma c a (- (* 0.8333333333333334 c) (* a b)))

simplify62.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05181112
11791840
25001811

prune404.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (1.2b remaining)

Error of 2.3b against oracle of 1.1b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04528
14728
24728

end0.0ms

sample2.0s

Algorithm
intervals
Results
800.0ms8000×body80valid
569.0ms8103×body80nan