Details

Time bar (total: 5.0s)

sample70.0ms

Algorithm
intervals
Results
20.0ms249×body80nan
19.0ms256×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110817
238917
3176117
4500217

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
2.2b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.2b
(/ (* z (sqrt (+ t a))) t)

rewrite67.0ms

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:
11.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
38.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series328.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
173.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms
(/ (* z (sqrt (+ t a))) t)

simplify56.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013772637
150012324

prune881.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
0.5b
(/ 2.0 (* t 3.0))
5.6b
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
7×associate-*r*
6×pow1 times-frac associate-/l*
5×sqrt-prod
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*l* prod-exp cbrt-unprod
2×frac-2neg sqrt-div associate-*r/ clear-num associate-/r* div-inv unswap-sqr
1×flip3-+ pow-prod-down *-commutative flip-+ fma-udef distribute-lft-out
Counts
4 → 83
Calls
4 calls:
13.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

series283.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
15.0ms
(/ 2.0 (* t 3.0))
189.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

simplify42.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0391525
11414450
25001441

prune517.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.7b

localize28.0ms

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)))
0.5b
(/ 2.0 (* t 3.0))
1.5b
(fma c a (- (* 0.8333333333333334 c) (* a b)))

rewrite76.0ms

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))
67.0ms
(- (+ 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))
20.0ms
(- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))
20.0ms
(/ 2.0 (* t 3.0))
39.0ms
(fma c a (- (* 0.8333333333333334 c) (* a b)))

simplify56.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05181112
11791840
25001811

prune418.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.7b

regimes198.0ms

Accuracy

0% (1.6b remaining)

Error of 2.5b against oracle of 0.9b and baseline of 2.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05029
15229
25229

end0.0ms

sample1.7s

Algorithm
intervals
Results
588.0ms8000×body80valid
545.0ms8050×body80nan