Details

Time bar (total: 5.3s)

sample26.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
17110
218410
338110
468210
5110210
6212210
7433710
8500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
2.3b
(+ (* (+ x y) z) (* (+ t y) a))
2.9b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.9b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+
6×pow1
5×associate-/r*
4×associate-*l* frac-add
3×associate-*r* associate-/l*
2×flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
9.0ms
(* (+ t y) a)
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
32.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
71.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series760.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (+ t y) a)
45.0ms
(+ (* (+ x y) z) (* (+ t y) a))
98.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
593.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify63.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05201087
123081025
250031025

prune331.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
2.0b
(- (* (+ t y) a) (* y b))
3.4b
(+ (* (+ x y) z) (- (* (+ t y) a) (* y b)))
26.9b
(/ (+ (* (+ x y) z) (- (* (+ t y) a) (* y b))) (+ (+ x t) y))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
8×add-exp-log flip3-+ frac-add add-cbrt-cube flip-+
6×pow1 associate-/l/
5×flip3-- associate-/r* flip--
4×associate-*l*
3×associate-*r* associate-/l*
2×associate-+r- sub-neg associate-+r+ diff-log sum-log associate-/r/
1×cbrt-undiv +-commutative frac-2neg div-sub div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 96
Calls
4 calls:
9.0ms
(* (+ t y) a)
5.0ms
(- (* (+ t y) a) (* y b))
14.0ms
(+ (* (+ x y) z) (- (* (+ t y) a) (* y b)))
54.0ms
(/ (+ (* (+ x y) z) (- (* (+ t y) a) (* y b))) (+ (+ x t) y))

series737.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ t y) a)
32.0ms
(- (* (+ t y) a) (* y b))
98.0ms
(+ (* (+ x y) z) (- (* (+ t y) a) (* y b)))
586.0ms
(/ (+ (* (+ x y) z) (- (* (+ t y) a) (* y b))) (+ (+ x t) y))

simplify69.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05101195
125541133
250011133

prune309.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ (+ x t) y) (+ (* (+ x y) z) (- (* (+ t y) a) (* y b)))))
2.0b
(- (* (+ t y) a) (* y b))
3.4b
(+ (* (+ x y) z) (- (* (+ t y) a) (* y b)))
26.9b
(/ (+ (+ x t) y) (+ (* (+ x y) z) (- (* (+ t y) a) (* y b))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
156×*-un-lft-identity
150×times-frac
76×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
31×associate-/r/
28×associate-/r*
24×associate-*l/ frac-add
19×flip3-+ flip-+
17×add-exp-log
13×flip3-- flip--
11×add-cbrt-cube add-log-exp
8×div-exp associate-/l*
6×div-inv
5×pow1
4×cbrt-undiv
2×sub-neg rec-exp associate-+r+ frac-2neg diff-log 1-exp clear-num sum-log associate-/l/
1×+-commutative associate-+r- pow-flip inv-pow
Counts
4 → 198
Calls
4 calls:
47.0ms
(/ 1 (/ (+ (+ x t) y) (+ (* (+ x y) z) (- (* (+ t y) a) (* y b)))))
5.0ms
(- (* (+ t y) a) (* y b))
14.0ms
(+ (* (+ x y) z) (- (* (+ t y) a) (* y b)))
55.0ms
(/ (+ (+ x t) y) (+ (* (+ x y) z) (- (* (+ t y) a) (* y b))))

series783.0ms

Counts
4 → 12
Calls
4 calls:
567.0ms
(/ 1 (/ (+ (+ x t) y) (+ (* (+ x y) z) (- (* (+ t y) a) (* y b)))))
28.0ms
(- (* (+ t y) a) (* y b))
94.0ms
(+ (* (+ x y) z) (- (* (+ t y) a) (* y b)))
94.0ms
(/ (+ (+ x t) y) (+ (* (+ x y) z) (- (* (+ t y) a) (* y b))))

simplify103.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07464041
137793795
250013657

prune441.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.8b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.8b

regimes435.0ms

Accuracy

52.6% (11.5b remaining)

Error of 15.7b against oracle of 4.2b and baseline of 28.5b

bsearch94.0ms

Steps
ItersRangePoint
10
9.456042252142157e+48
2.153863339442436e+67
2.0040280940835718e+61
7
-4.047906224949179e+39
-3.8517108603272673e+37
-2.2137418521251532e+39

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04013
14013

end0.0ms

sample640.0ms

Algorithm
intervals
Results
367.0ms7996×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid