Details

Time bar (total: 5.8s)

sample347.0ms

Algorithm
intervals
Results
74.0ms612×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
05114
115514
267514
3324213
4500113

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.5b
(/ 2.0 (* r r))
6.1b
(* (* (* w w) r) r)
9.6b
(* (* w w) r)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
10×prod-exp cbrt-unprod
9×add-sqr-sqrt pow-prod-down
8×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative
1×frac-2neg clear-num associate-/r* fma-udef div-inv unswap-sqr
Counts
4 → 77
Calls
4 calls:
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
3.0ms
(/ 2.0 (* r r))
25.0ms
(* (* (* w w) r) r)
11.0ms
(* (* w w) r)

series191.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
24.0ms
(/ 2.0 (* r r))
32.0ms
(* (* (* w w) r) r)
33.0ms
(* (* w w) r)

simplify47.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0320459
11457382
25001374

prune254.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.0b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.3b
(* (fabs (* w r)) (fabs (* w r)))
0.5b
(/ 2.0 (* r r))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
12×add-cube-cbrt
11×pow1
8×times-frac
6×associate-/r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l* add-log-exp
3×swap-sqr associate-*r* associate-*l* prod-exp cbrt-unprod
2×flip3-- frac-2neg associate-*r/ clear-num associate-/r/ flip-- div-inv associate-/l/ distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up fma-udef unswap-sqr
Counts
4 → 91
Calls
4 calls:
10.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
3.0ms
(/ 2.0 (* r r))

series160.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
78.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
24.0ms
(/ 2.0 (* r r))

simplify53.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0484688
12000586
25001573

prune350.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.0b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.2b
(/ (/ 2.0 r) r)
0.3b
(* (fabs (* w r)) (fabs (* w r)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
58×add-sqr-sqrt
56×*-un-lft-identity
52×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
11×pow1
8×associate-/r*
6×div-inv
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×swap-sqr associate-*r* associate-*l* associate-/l/
2×flip3-- frac-2neg associate-*r/ prod-exp clear-num associate-/r/ flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up fma-udef unswap-sqr
Counts
4 → 140
Calls
4 calls:
10.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
6.0ms
(/ (/ 2.0 r) r)
5.0ms
(* (fabs (* w r)) (fabs (* w r)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
76.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
24.0ms
(/ (/ 2.0 r) r)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))

simplify69.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06921051
12867930
25002913

prune511.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (cbrt (pow (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 3)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.2b
(/ (/ 2.0 r) r)
0.3b
(* (fabs (* w r)) (fabs (* w r)))
0.5b
(cbrt (pow (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
61×add-sqr-sqrt
59×*-un-lft-identity
55×add-cube-cbrt
28×cbrt-prod
13×associate-/l*
11×pow1 add-exp-log unpow-prod-down cube-prod add-cbrt-cube
7×div-inv
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv swap-sqr div-exp associate-*r* associate-*l* associate-/r*
2×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×cube-div pow2 cube-mult cbrt-div frac-2neg pow-plus pow1/3 unpow3 pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up rem-cbrt-cube cbrt-unprod fma-udef associate-/l/ unswap-sqr sqr-pow
Counts
4 → 149
Calls
4 calls:
0.0ms
(fma (cbrt (pow (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 3)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
6.0ms
(/ (/ 2.0 r) r)
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
9.0ms
(cbrt (pow (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 3))

series158.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(fma (cbrt (pow (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 3)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
27.0ms
(/ (/ 2.0 r) r)
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
46.0ms
(cbrt (pow (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 3))

simplify76.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07571200
133011103
250011090

prune523.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.1s17254×body80valid