Details

Time bar (total: 5.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms280×body80valid

simplify61.0ms

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: 1.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.3b
(* (/ (- x y) (- z y)) t)

rewrite24.0ms

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:
8.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series148.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- x y) (- z y))
97.0ms
(* (/ (- x y) (- z y)) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune232.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ x (- z y))
0.0b
(/ y (- z y))
1.3b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite137.0ms

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:
39.0ms
(- (/ x (- z y)) (/ y (- z y)))
5.0ms
(/ x (- z y))
5.0ms
(/ y (- z y))
30.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series273.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (/ x (- z y)) (/ y (- z y)))
28.0ms
(/ x (- z y))
47.0ms
(/ y (- z y))
133.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify186.0ms

Algorithm
egg-herbie
Counts
622 → 622
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0128915912
1359111915
2500111825

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(/ (- z y) y)
0.7b
(/ 1 (/ (- z y) y))
1.3b
(* (- (/ x (- z y)) (/ 1 (/ (- z y) y))) t)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
157×add-sqr-sqrt
138×*-un-lft-identity
82×add-cube-cbrt
30×difference-of-squares
27×associate-/r*
25×distribute-lft-out--
21×add-exp-log
17×associate-*l*
15×add-cbrt-cube
11×associate-/l*
9×div-exp
8×div-inv
7×pow1
5×cbrt-undiv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- frac-2neg associate-*r* associate-*l/ clear-num associate-/r/ flip--
2×rec-exp 1-exp associate-/l/
1×pow-flip div-sub pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod inv-pow unswap-sqr
Counts
4 → 218
Calls
4 calls:
5.0ms
(/ x (- z y))
6.0ms
(/ (- z y) y)
8.0ms
(/ 1 (/ (- z y) y))
63.0ms
(* (- (/ x (- z y)) (/ 1 (/ (- z y) y))) t)

series235.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ x (- z y))
29.0ms
(/ (- z y) y)
42.0ms
(/ 1 (/ (- z y) y))
137.0ms
(* (- (/ x (- z y)) (/ 1 (/ (- z y) y))) t)

simplify73.0ms

Algorithm
egg-herbie
Counts
230 → 230
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06751532
130101288
250011288

prune432.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (/ (- z y) y))
2.8b
(cbrt (- (/ x (- z y)) (/ 1 (/ (- z y) y))))
2.8b
(cbrt (- (/ x (- z y)) (/ 1 (/ (- z y) y))))
2.8b
(cbrt (- (/ x (- z y)) (/ 1 (/ (- z y) y))))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
186×add-sqr-sqrt
180×times-frac
135×*-un-lft-identity
63×add-cube-cbrt
51×cbrt-prod
42×difference-of-squares
27×distribute-lft-out--
19×associate-/r*
15×add-exp-log
9×cbrt-div add-cbrt-cube
8×div-inv
7×div-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- pow1/3 frac-sub flip-- associate-/l*
2×rec-exp 1-exp
1×pow-flip frac-2neg clear-num associate-/r/ inv-pow
Counts
4 → 192
Calls
4 calls:
8.0ms
(/ 1 (/ (- z y) y))
55.0ms
(cbrt (- (/ x (- z y)) (/ 1 (/ (- z y) y))))
54.0ms
(cbrt (- (/ x (- z y)) (/ 1 (/ (- z y) y))))
56.0ms
(cbrt (- (/ x (- z y)) (/ 1 (/ (- z y) y))))

series633.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ 1 (/ (- z y) y))
195.0ms
(cbrt (- (/ x (- z y)) (/ 1 (/ (- z y) y))))
195.0ms
(cbrt (- (/ x (- z y)) (/ 1 (/ (- z y) y))))
197.0ms
(cbrt (- (/ x (- z y)) (/ 1 (/ (- z y) y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05682157
121371876
250011855

prune485.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (2.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample430.0ms

Algorithm
intervals
Results
223.0ms8735×body80valid