Details

Time bar (total: 5.1s)

sample22.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (20.0ms)

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

localize9.0ms

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)))

rewrite87.0ms

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:
12.0ms
(/ (+ 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)))))
35.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
32.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series232.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(/ (+ 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)))))
49.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
55.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify90.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06112156
131171722
250011670

prune324.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.1b
(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
149×add-exp-log add-cbrt-cube
71×*-un-lft-identity
60×times-frac prod-exp cbrt-unprod
48×cbrt-undiv div-exp
36×swap-sqr
35×add-sqr-sqrt
33×pow1
30×associate-*r* associate-*l*
29×add-cube-cbrt
24×associate-/r/
18×distribute-lft-out
12×flip3-+ flip-+ div-inv
10×pow-exp rem-cube-cbrt
6×pow-pow
4×pow2 expm1-log1p-u frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×cube-div pow-unpow *-commutative unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod sqr-pow
Counts
4 → 254
Calls
4 calls:
32.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
34.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
31.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
17.0ms
(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

series238.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
49.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
55.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
79.0ms
(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

simplify100.0ms

Algorithm
egg-herbie
Counts
266 → 266
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
05752022
131471606
250021551

prune665.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))

rewrite16.0ms

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:
0.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
2.0ms
(/ (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))
4.0ms
(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))

series692.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(fma (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)) 1.0)
188.0ms
(/ (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))
225.0ms
(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)
190.0ms
(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))

simplify80.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04483285
119673102
250013090

prune295.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×cbrt-div
6×add-exp-log associate-/r* associate-/l*
5×flip3-+ flip-+
4×pow1 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 111
Calls
4 calls:
9.0ms
(/ (cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (cbrt (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
2.0ms
(cbrt (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
2.0ms
(cbrt (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
2.0ms
(cbrt (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

series846.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(/ (cbrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (cbrt (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
189.0ms
(cbrt (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
193.0ms
(cbrt (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
198.0ms
(cbrt (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

simplify69.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03923104
113702995
250012965

prune462.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

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
02538
12538

end0.0ms

sample544.0ms

Algorithm
intervals
Results
442.0ms8000×body80valid