Details

Time bar (total: 3.2s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (19.0ms)

IterNodesCost
02017
14617
212817
334017
466217
589715
6117915
7175315
8500115

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log add-cbrt-cube
55×*-un-lft-identity
49×times-frac
31×add-sqr-sqrt
30×prod-exp cbrt-unprod
27×add-cube-cbrt
25×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l*
18×associate-/r/
17×pow1
12×distribute-lft-out
10×flip3-+ flip-+
9×div-inv
3×expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
1×frac-2neg clear-num
Counts
3 → 171
Calls
3 calls:
8.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series215.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
47.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
50.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify92.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06112156
131171722
250011670

prune251.0ms

Filtered
180 candidates to 110 candidates (61.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1773180
Fresh000
Picked101
Done000
Total1783181

Merged error: 0b

Counts
181 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))
0.0b
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log add-cbrt-cube
64×*-un-lft-identity
58×times-frac
40×add-sqr-sqrt
36×add-cube-cbrt
30×prod-exp cbrt-unprod
25×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l* associate-/r/
19×pow1
16×log-pow
15×exp-prod
12×distribute-lft-out
11×flip3-+ flip-+
10×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×log-prod associate-/r* associate-/l*
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
1×frac-2neg rem-log-exp clear-num
Counts
4 → 200
Calls
4 calls:
8.0ms
(log (exp (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))
8.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
18.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
16.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series333.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(log (exp (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))
119.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
47.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
51.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify97.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06652809
131962310
250032243

prune356.0ms

Filtered
212 candidates to 136 candidates (64.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2120212
Fresh022
Picked011
Done000
Total2123215

Merged error: 0b

Counts
215 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
0.0b
(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
0.5b
(pow (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)) 3)
1.0b
(cbrt (pow (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)) 3))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×cbrt-prod
26×unpow-prod-down cube-prod
9×add-exp-log add-cbrt-cube
5×pow1 div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube fma-udef
Counts
4 → 131
Calls
4 calls:
1.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
3.0ms
(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
5.0ms
(pow (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)) 3)
5.0ms
(cbrt (pow (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)) 3))

series624.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
172.0ms
(/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0))
200.0ms
(pow (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)) 3)
174.0ms
(cbrt (pow (/ (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0) (fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 2.0)) 3))

simplify81.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04483285
119673102
250013090

prune225.0ms

Filtered
143 candidates to 85 candidates (59.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1430143
Fresh011
Picked011
Done011
Total1433146

Merged error: 0b

Counts
146 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 0.5 (* 2.0 (pow t 3)))
7.8b
(fma (pow t 2) 1.0 (- 0.5 (* 2.0 (pow t 3))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-neg prod-diff
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- fma-udef
Counts
2 → 30
Calls
2 calls:
3.0ms
(- 0.5 (* 2.0 (pow t 3)))
1.0ms
(fma (pow t 2) 1.0 (- 0.5 (* 2.0 (pow t 3))))

series115.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(- 0.5 (* 2.0 (pow t 3)))
39.0ms
(fma (pow t 2) 1.0 (- 0.5 (* 2.0 (pow t 3))))

simplify101.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0126221
1434193
22913191
35002171

prune67.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New36036
Fresh000
Picked011
Done022
Total36339

Merged error: 0b

Counts
39 → 3

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01619
11619

end0.0ms

sample300.0ms

Algorithm
intervals
Results
216.0ms8000×body80valid