Details

Time bar (total: 15.7s)

sample67.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
15.0ms221×body80nan

simplify37.0ms

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: 4.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
2.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.4b
(/ (* z (sqrt (+ t a))) t)

rewrite75.0ms

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))
41.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series334.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* z (sqrt (+ t a)))
20.0ms
(/ 2.0 (* t 3.0))
179.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
75.0ms
(/ (* z (sqrt (+ t a))) t)

simplify58.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013772637
150012324

prune932.0ms

Filtered
191 candidates to 137 candidates (71.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.9b
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

series876.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt t)
186.0ms
(cbrt t)
181.0ms
(cbrt t)
333.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

simplify38.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0144371
1339322
21169312
35002308

prune448.0ms

Filtered
61 candidates to 54 candidates (88.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ 2.0 (* t 3.0)) 3)
2.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
5.4b
(/ (* z (sqrt (+ t a))) t)
38.0b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite113.0ms

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:
5.0ms
(pow (/ 2.0 (* t 3.0)) 3)
70.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)
3.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series319.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(pow (/ 2.0 (* t 3.0)) 3)
180.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
82.0ms
(/ (* 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
016705618
150015082

prune1.4s

Filtered
339 candidates to 174 candidates (51.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize219.0ms

Local error

Found 4 expressions with local error:

3.2b
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
3.3b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
8.1b
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
28.7b
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite664.0ms

Algorithm
rewrite-expression-head
Rules
766×associate-*l/
764×associate-*r/
524×frac-sub
498×flip3-- flip--
364×frac-times
240×sqrt-div
162×associate-/l/
120×flip3-+ flip-+
28×add-exp-log add-cbrt-cube
24×distribute-rgt-in distribute-lft-in
14×pow1
12×prod-exp cbrt-unprod associate--r+
9×sub-neg prod-diff
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×pow-prod-down add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×times-frac associate-/l*
2×associate-*r* associate-/r/ *-commutative
1×frac-2neg fma-neg diff-log div-sub clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 455
Calls
4 calls:
104.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
14.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
168.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
299.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

series1.5s

Counts
4 → 12
Calls
4 calls:
179.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
47.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
592.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
708.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify317.0ms

Algorithm
egg-herbie
Counts
467 → 467
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
0490623936
1500123936

prune6.0s

Filtered
467 candidates to 433 candidates (92.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes264.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04833
15033
25033

end0.0ms

sample1.8s

Algorithm
intervals
Results
587.0ms8000×body80valid
549.0ms7917×body80nan