Details

Time bar (total: 6.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms282×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1254
2494
3784
41164
51414
61624
71754
81834
91874
101914
113024
123404
133664
144644
155334
166154
177214
188154
198244
208244

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
3.1b
(* (/ (- x y) (- z y)) t)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
15.0ms
(/ (- x y) (- z y))
24.0ms
(* (/ (- x y) (- z y)) t)

series166.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (- x y) (- z y))
107.0ms
(* (/ (- x y) (- z y)) t)

simplify107.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune241.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ y (- z y))
3.1b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite311.0ms

Algorithm
rewrite-expression-head
Rules
743×*-un-lft-identity
725×add-sqr-sqrt
711×times-frac
441×prod-diff
417×add-cube-cbrt
161×distribute-lft-out--
149×difference-of-squares
98×associate-/r/
51×flip3-- flip--
49×div-inv
21×fma-neg
18×associate-*l*
10×add-exp-log associate-/r* add-cbrt-cube
6×pow1 distribute-rgt-out-- associate-/l* add-log-exp
4×expm1-log1p-u associate-*l/ log1p-expm1-u
3×associate-*r*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 610
Calls
4 calls:
5.0ms
(/ x (- z y))
70.0ms
(- (/ x (- z y)) (/ y (- z y)))
5.0ms
(/ y (- z y))
172.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series274.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ x (- z y))
67.0ms
(- (/ x (- z y)) (/ y (- z y)))
48.0ms
(/ y (- z y))
133.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify182.0ms

Algorithm
egg-herbie
Counts
622 → 622
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0128915912
1359111915
2500111825

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.1b
(* (- (/ (* (cbrt x) (cbrt x)) (/ (- z y) (cbrt x))) (/ y (- z y))) t)

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
14×times-frac
12×associate-*l*
11×cbrt-prod *-un-lft-identity
9×add-cube-cbrt
8×difference-of-squares
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l/
1×flip3-- pow-prod-down prod-exp *-commutative frac-sub flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 71
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
299.0ms
(* (- (/ (* (cbrt x) (cbrt x)) (/ (- z y) (cbrt x))) (/ y (- z y))) t)

series703.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
178.0ms
(cbrt x)
179.0ms
(cbrt x)
160.0ms
(* (- (/ (* (cbrt x) (cbrt x)) (/ (- z y) (cbrt x))) (/ y (- z y))) t)

simplify98.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0225589
1761531
23654503
35002487

prune260.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.7b
(* (* (+ (- (/ y (- z y))) (/ (* 1 x) (- z y))) (* (cbrt t) (cbrt t))) (cbrt t))
2.5b
(* (+ (- (/ y (- z y))) (/ (* 1 x) (- z y))) (* (cbrt t) (cbrt t)))

rewrite534.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
18×pow1 add-exp-log
16×add-sqr-sqrt associate-*l*
14×times-frac
11×add-cube-cbrt add-cbrt-cube
9×cbrt-prod pow-prod-down associate-*l/ prod-exp cbrt-unprod distribute-lft-out
8×distribute-rgt-neg-in
7×associate-*r*
4×expm1-log1p-u associate-/r/ log1p-expm1-u distribute-lft-out-- add-log-exp
3×distribute-lft-neg-in distribute-rgt-out
2×flip3-- flip3-+ pow1/3 frac-add *-commutative flip-- flip-+ div-inv distribute-neg-frac difference-of-squares
1×unswap-sqr
Counts
4 → 91
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
279.0ms
(* (* (+ (- (/ y (- z y))) (/ (* 1 x) (- z y))) (* (cbrt t) (cbrt t))) (cbrt t))
251.0ms
(* (+ (- (/ y (- z y))) (/ (* 1 x) (- z y))) (* (cbrt t) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt t)
184.0ms
(cbrt t)
254.0ms
(* (* (+ (- (/ y (- z y))) (/ (* 1 x) (- z y))) (* (cbrt t) (cbrt t))) (cbrt t))
491.0ms
(* (+ (- (/ y (- z y))) (/ (* 1 x) (- z y))) (* (cbrt t) (cbrt t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03711054
11654785
25001721

prune274.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes310.0ms

Accuracy

-18.4% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.0b

bsearch78.0ms

Steps
ItersRangePoint
10
4.734590495924167e-35
8.19888997040516e-22
6.825150859471012e-35
10
-4.698720960877704e-64
-5.4709755232795946e-74
-2.2386468483281167e-67

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12310

end0.0ms

sample440.0ms

Algorithm
intervals
Results
227.0ms8726×body80valid