Details

Time bar (total: 4.6s)

sample15.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log add-cbrt-cube
60×*-un-lft-identity
48×times-frac
32×prod-exp cbrt-unprod
28×cbrt-undiv add-sqr-sqrt div-exp
24×add-cube-cbrt swap-sqr
20×associate-*r* associate-*l* associate-/r/
18×pow1
16×distribute-lft-out
10×flip3-+ flip-+ div-inv
8×associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up associate-/l* unswap-sqr
Counts
4 → 192
Calls
4 calls:
15.0ms
(/ (* 2.0 t) (+ 1.0 t))
16.0ms
(/ (* 2.0 t) (+ 1.0 t))
57.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
60.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (* 2.0 t) (+ 1.0 t))
40.0ms
(/ (* 2.0 t) (+ 1.0 t))
45.0ms
(* (/ (* 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)))

simplify69.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04751634
126311256
250011184

prune327.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.5b
(pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
0.6b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
0.7b
(log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log *-un-lft-identity
40×add-cbrt-cube
32×unpow-prod-down
28×times-frac
26×add-sqr-sqrt
24×add-cube-cbrt
20×pow-unpow sqrt-prod
15×prod-exp cbrt-unprod
14×pow1
12×cbrt-undiv swap-sqr div-exp associate-/r/
10×associate-*r* associate-*l*
8×distribute-lft-out
7×log-prod pow-pow
6×flip3-+ flip-+ div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×pow-to-exp exp-prod rem-log-exp pow-exp
1×pow2 frac-times sqrt-pow1 pow-plus pow1/2 associate-*r/ pow-prod-down associate-*l/ pow-sqr log-pow *-commutative pow-prod-up sqrt-pow2 unswap-sqr
Counts
4 → 157
Calls
4 calls:
59.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
14.0ms
(pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
14.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
4.0ms
(log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

series1.0s

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
274.0ms
(pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
186.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
509.0ms
(log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

simplify112.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
08751511
143591243
250011227

prune446.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
0.6b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
0.6b
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
0.7b
(log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
45×unpow-prod-down
30×sqrt-prod
26×*-un-lft-identity
23×pow-unpow
20×add-sqr-sqrt add-cube-cbrt
12×times-frac
10×pow-pow
9×pow1
7×add-exp-log log-prod
6×associate-/r/
5×sqr-pow
4×expm1-log1p-u pow-to-exp pow-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×exp-prod flip3-+ rem-log-exp flip-+ div-inv distribute-lft-out
2×sqrt-pow1 pow1/2 sqrt-pow2
1×log-pow
Counts
4 → 120
Calls
4 calls:
17.0ms
(pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
14.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
13.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
4.0ms
(log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

series1.2s

Counts
4 → 12
Calls
4 calls:
282.0ms
(pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
187.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
188.0ms
(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
511.0ms
(log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

simplify61.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05311202
121061043
250011010

prune443.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

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
01417
11417

end0.0ms

sample337.0ms

Algorithm
intervals
Results
223.0ms8000×body80valid