Details

Time bar (total: 6.9s)

sample72.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
18.0ms252×body80nan

simplify37.0ms

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: 2.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.7b
(/ (* z (sqrt (+ t a))) t)

rewrite57.0ms

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:
7.0ms
(* z (sqrt (+ t a)))
5.0ms
(/ 2.0 (* t 3.0))
24.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series346.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
184.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
84.0ms
(/ (* z (sqrt (+ t a))) t)

simplify56.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013772637
150012324

prune935.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
0.3b
(/ 2.0 (* t 3.0))
4.2b
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

rewrite19.0ms

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:
7.0ms
(* z (sqrt (+ t a)))
5.0ms
(/ 2.0 (* t 3.0))
5.0ms
(/ 2.0 (* t 3.0))
1.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

series305.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* z (sqrt (+ t a)))
17.0ms
(/ 2.0 (* t 3.0))
17.0ms
(/ 2.0 (* t 3.0))
204.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

simplify41.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0391525
11414450
25001441

prune725.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
0.3b
(/ 2.0 (* t 3.0))
4.2b
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))) (- b c))))
39.0b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
14×add-exp-log add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
7×unpow-prod-down cube-prod
6×associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv add-log-exp
2×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
1×cube-div cube-mult cbrt-div pow1/3 unpow3 rem-cbrt-cube fma-udef sqr-pow
Counts
4 → 88
Calls
4 calls:
5.0ms
(/ 2.0 (* t 3.0))
5.0ms
(/ 2.0 (* t 3.0))
1.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))) (- b c))))
5.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series261.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ 2.0 (* t 3.0))
17.0ms
(/ 2.0 (* t 3.0))
207.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))) (- b c))))
20.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify37.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0325511
11254469
25001465

prune566.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
0.3b
(/ 2.0 (* t 3.0))
3.3b
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)) (- b c))))
39.3b
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
27×unpow-prod-down
21×add-exp-log
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
12×times-frac
8×pow-exp
7×cube-prod
6×div-exp associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow-unpow prod-exp
2×pow-to-exp frac-2neg clear-num associate-/r* cbrt-unprod sqr-pow
1×cube-mult pow-pow unpow1/3 unpow3 fma-udef
Counts
4 → 97
Calls
4 calls:
5.0ms
(/ 2.0 (* t 3.0))
8.0ms
(/ 2.0 (* t 3.0))
1.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)) (- b c))))
7.0ms
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

series482.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ 2.0 (* t 3.0))
17.0ms
(/ 2.0 (* t 3.0))
212.0ms
(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)) (- b c))))
236.0ms
(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

simplify48.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0477618
11590500
25002490

prune609.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

0% (2.4b remaining)

Error of 2.8b against oracle of 0.4b and baseline of 2.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05029
15229
25229

end0.0ms

sample1.8s

Algorithm
intervals
Results
600.0ms8000×body80valid
584.0ms8094×body80nan