Details

Time bar (total: 7.9s)

sample66.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
16.0ms247×body80nan

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110817
238917
3176117
4500217

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.5b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.7b
(/ (* z (sqrt (+ t a))) t)

rewrite70.0ms

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:
15.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
37.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series332.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
174.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms
(/ (* z (sqrt (+ t a))) t)

simplify52.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013772637
150012324

prune905.0ms

Filtered
191 candidates to 137 candidates (71.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.2b
(/ (sqrt (+ t a)) t)
0.3b
(/ 2.0 (* t 3.0))
2.0b
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite354.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
60×add-sqr-sqrt
56×prod-diff
54×add-cube-cbrt
48×times-frac
31×distribute-rgt-in distribute-lft-in
19×distribute-lft-out
16×sqrt-prod
13×add-exp-log add-cbrt-cube
10×div-inv associate-/l*
8×frac-times flip3-- flip--
6×pow1 associate-*r* frac-sub
5×associate-*l*
4×expm1-log1p-u flip3-+ associate-*r/ associate-/r* flip-+ log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp distribute-lft-out--
2×sub-neg frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/ difference-of-squares
1×pow-prod-down *-commutative fma-udef unswap-sqr
Counts
4 → 181
Calls
4 calls:
334.0ms
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
8.0ms
(/ (sqrt (+ t a)) t)
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series336.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
56.0ms
(/ (sqrt (+ t a)) t)
19.0ms
(/ 2.0 (* t 3.0))
202.0ms
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify106.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
08942691
140232163
250022158

prune719.0ms

Filtered
193 candidates to 108 candidates (56.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ 2.0 (* t 3.0)) 3)
2.5b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
5.7b
(/ (* z (sqrt (+ t a))) t)
37.3b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
206×*-un-lft-identity
191×prod-diff
190×associate--r+
180×cbrt-prod
114×add-sqr-sqrt add-cube-cbrt
95×distribute-rgt-in distribute-lft-in
70×unpow-prod-down cube-prod
69×times-frac
46×distribute-lft-out
23×div-inv
20×frac-sub
15×add-exp-log add-cbrt-cube
10×cube-mult unpow3 sqr-pow
9×flip3-- flip--
8×cube-div frac-times
7×cbrt-div fma-neg
6×associate-*r/ add-log-exp
5×pow1
4×cbrt-undiv expm1-log1p-u flip3-+ div-exp flip-+ log1p-expm1-u
3×sub-neg pow-unpow pow-exp associate-/r* rem-cube-cbrt
2×sqrt-div associate-*l/ prod-exp associate--l+ cbrt-unprod associate-/l/
1×pow-to-exp pow-pow frac-2neg pow1/3 diff-log clear-num rem-cbrt-cube associate-/l*
Counts
4 → 327
Calls
4 calls:
4.0ms
(pow (/ 2.0 (* t 3.0)) 3)
61.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)
3.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series303.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(pow (/ 2.0 (* t 3.0)) 3)
169.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
76.0ms
(/ (* z (sqrt (+ t a))) t)
16.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify87.0ms

Algorithm
egg-herbie
Counts
339 → 339
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
016705638
150015100

prune1.3s

Filtered
339 candidates to 174 candidates (51.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.6666666666666666 (/ b t))
0.2b
(/ (sqrt (+ t a)) t)
1.2b
(fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))
1.5b
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
33×add-sqr-sqrt
31×times-frac
28×add-cube-cbrt
16×sqrt-prod
13×associate-*r*
11×add-exp-log add-cbrt-cube
7×associate-/l*
6×pow1
4×expm1-log1p-u log1p-expm1-u distribute-lft-out add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod fma-udef div-inv associate-/l/ unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
4 → 101
Calls
4 calls:
7.0ms
(* 0.6666666666666666 (/ b t))
8.0ms
(/ (sqrt (+ t a)) t)
0.0ms
(fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))
0.0ms
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))))

series346.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 0.6666666666666666 (/ b t))
62.0ms
(/ (sqrt (+ t a)) t)
40.0ms
(fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))
226.0ms
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))))

simplify47.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0419756
11551683
25001673

prune529.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes290.0ms

Accuracy

0% (1.4b remaining)

Error of 2.1b against oracle of 0.7b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04318
14518
24518

end0.0ms

sample1.8s

Algorithm
intervals
Results
585.0ms8000×body80valid
537.0ms7886×body80nan