Details

Time bar (total: 5.8s)

sample47.0ms

Algorithm
intervals
Results
15.0ms61×body640valid
11.0ms131×body80valid
6.0ms18×body1280valid
5.0ms27×body320valid
2.0ms19×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1317
2437
3577
4737
5927
61267
71587
82077
92097
102097

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
0.0b
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.4b
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
725×*-un-lft-identity
703×times-frac
524×add-sqr-sqrt
492×add-cube-cbrt
468×prod-diff
236×associate-+l+
95×distribute-lft-out
65×div-inv
58×associate-/r/
29×flip3-+ flip-+
18×fma-neg
17×distribute-lft-out--
12×difference-of-squares
11×add-log-exp
10×fma-def
9×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
3×flip3-- frac-add flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num sum-log frac-sub
1×+-commutative associate-+l-
Counts
4 → 618
Calls
4 calls:
5.0ms
(/ 1.0 (+ x 1.0))
5.0ms
(/ 1.0 (- x 1.0))
53.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
237.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series322.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ 1.0 (+ x 1.0))
28.0ms
(/ 1.0 (- x 1.0))
47.0ms
(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
218.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify154.0ms

Algorithm
egg-herbie
Counts
630 → 630
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0115610955
136078288
250017670

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(/ (fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.1b
(* (* (+ x 1.0) x) (- x 1.0))
30.9b
(fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
20×add-exp-log add-cbrt-cube
18×prod-diff associate-*l/
11×pow1 distribute-rgt-in distribute-lft-in
8×frac-times associate-*r* associate-/r/
7×flip3-+ prod-exp cbrt-unprod flip-+
6×flip3-- flip--
5×associate-*l*
4×expm1-log1p-u associate-*r/ pow-prod-down log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac div-exp associate-/l*
2×sub-neg *-commutative
1×frac-2neg clear-num associate-/r* fma-udef div-inv distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 118
Calls
4 calls:
10.0ms
(* (+ x 1.0) x)
17.0ms
(/ (fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
26.0ms
(* (* (+ x 1.0) x) (- x 1.0))
0.0ms
(fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0))

series626.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (+ x 1.0) x)
302.0ms
(/ (fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
96.0ms
(* (* (+ x 1.0) x) (- x 1.0))
180.0ms
(fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05791470
130481170
250011170

prune275.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.1b
(* (* (+ x 1.0) x) (- x 1.0))
0.1b
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×prod-diff associate-*l/
11×distribute-rgt-in distribute-lft-in
10×pow1
8×frac-times associate-*r* associate-/r/
7×flip3-+ prod-exp cbrt-unprod flip-+
6×flip3-- flip--
5×associate-*l*
4×associate-*r/ pow-prod-down
3×cbrt-undiv expm1-log1p-u times-frac div-exp log1p-expm1-u associate-/l* add-log-exp
2×sub-neg *-commutative
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 108
Calls
3 calls:
10.0ms
(* (+ x 1.0) x)
22.0ms
(* (* (+ x 1.0) x) (- x 1.0))
17.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series229.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* (+ x 1.0) x)
96.0ms
(* (* (+ x 1.0) x) (- x 1.0))
92.0ms
(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify80.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0565948
12962739
25001737

prune376.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (pow x 3) (* 1.0 x))
0.1b
(/ 2.0 (- (pow x 3) (* 1.0 x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac fma-neg prod-diff
7×unpow3
6×unpow-prod-down cube-prod
5×distribute-rgt-out--
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 expm1-log1p-u cube-mult flip3-- associate-/r/ flip-- log1p-expm1-u sqr-pow
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 74
Calls
2 calls:
12.0ms
(- (pow x 3) (* 1.0 x))
16.0ms
(/ 2.0 (- (pow x 3) (* 1.0 x)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(- (pow x 3) (* 1.0 x))
67.0ms
(/ 2.0 (- (pow x 3) (* 1.0 x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0294484
11279440
25001434

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample1.3s

Algorithm
intervals
Results
478.0ms1881×body640valid
284.0ms4179×body80valid
175.0ms555×body1280valid
172.0ms893×body320valid
62.0ms493×body160valid