Details

Time bar (total: 6.1s)

sample69.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
15.0ms223×body80nan

simplify39.0ms

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: 3.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
1.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.3b
(/ (* z (sqrt (+ t a))) t)

rewrite68.0ms

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))
39.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series340.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
178.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms
(/ (* z (sqrt (+ t a))) t)

simplify57.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
013772637
150012324

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize29.0ms

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))
4.0b
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

rewrite23.0ms

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:
11.0ms
(* 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))))

series296.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
16.0ms
(/ 2.0 (* t 3.0))
199.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

simplify50.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0391525
11414450
25001441

prune541.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* 2.0 (+ (fma c a (- (* 0.8333333333333334 c) (* a b))) (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (+ (- (- b c)) (- b c))))))
0.0b
(- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))
0.5b
(/ 2.0 (* t 3.0))
1.0b
(fma c a (- (* 0.8333333333333334 c) (* a b)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
28×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×div-inv
4×pow1 expm1-log1p-u fma-neg log1p-expm1-u
3×associate-/l*
2×cbrt-undiv diff-log div-exp exp-sum frac-sub distribute-lft-out--
1×distribute-rgt-in sub-neg exp-prod flip3-- exp-to-pow frac-2neg distribute-lft-in flip3-+ prod-exp associate--l+ clear-num associate-/r* sum-log flip-- cbrt-unprod flip-+ fma-udef rem-exp-log difference-of-squares
Counts
4 → 100
Calls
4 calls:
2.0ms
(exp (* 2.0 (+ (fma c a (- (* 0.8333333333333334 c) (* a b))) (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (+ (- (- b c)) (- b c))))))
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)))

series132.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(exp (* 2.0 (+ (fma c a (- (* 0.8333333333333334 c) (* a b))) (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (+ (- (- b c)) (- b c))))))
27.0ms
(- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))
16.0ms
(/ 2.0 (* t 3.0))
39.0ms
(fma c a (- (* 0.8333333333333334 c) (* a b)))

simplify65.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05121284
11811986
25002954

prune424.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1))))
0.1b
(fma 1.388888888888889 (pow c 2) 1)
3.2b
(/ x (+ x (* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1)))))
5.0b
(* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1 add-log-exp
5×fma-udef
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-*r* associate-*l* associate-/r* associate-/l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 81
Calls
4 calls:
2.0ms
(+ x (* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1))))
0.0ms
(fma 1.388888888888889 (pow c 2) 1)
4.0ms
(/ x (+ x (* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1)))))
3.0ms
(* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(+ x (* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1))))
47.0ms
(fma 1.388888888888889 (pow c 2) 1)
200.0ms
(/ x (+ x (* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1)))))
57.0ms
(* y (fma 1.6666666666666667 c (fma 1.388888888888889 (pow c 2) 1)))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0260653
11031582
25002579

prune305.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes236.0ms

Accuracy

0% (1.9b remaining)

Error of 2.3b against oracle of 0.5b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05029
15229
25229

end0.0ms

sample1.7s

Algorithm
intervals
Results
571.0ms8000×body80valid
526.0ms7722×body80nan