Details

Time bar (total: 3.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms271×body80valid

simplify62.0ms

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: 0.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
0.8b
(* (/ (- x y) (- z y)) t)

rewrite43.0ms

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:
12.0ms
(/ (- x y) (- z y))
26.0ms
(* (/ (- x y) (- z y)) t)

series148.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- x y) (- z y))
102.0ms
(* (/ (- x y) (- z y)) t)

simplify99.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune429.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.2b
(/ 1 (/ (- z y) (- x y)))
0.8b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u associate-*r* cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 332
Calls
3 calls:
13.0ms
(/ (- z y) (- x y))
18.0ms
(/ 1 (/ (- z y) (- x y)))
55.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series326.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- z y) (- x y))
127.0ms
(/ 1 (/ (- z y) (- x y)))
150.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify100.0ms

Algorithm
egg-herbie
Counts
341 → 341
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
08852703
142142416
250012191

prune560.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.7b
(/ t (/ (- z y) (- x y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
15.0ms
(/ (- z y) (- x y))
15.0ms
(/ t (/ (- z y) (- x y)))

series186.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- z y) (- x y))
138.0ms
(/ t (/ (- z y) (- x y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06421801
128871748
250011745

prune460.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* (- z y) (/ 1 (- x y)))
0.7b
(/ t (* (- z y) (/ 1 (- x y))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv flip3-- associate-/r* flip-- associate-/l*
5×associate-*l*
4×frac-times associate-*l/ cbrt-unprod
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 128
Calls
3 calls:
7.0ms
(/ 1 (- x y))
26.0ms
(* (- z y) (/ 1 (- x y)))
10.0ms
(/ t (* (- z y) (/ 1 (- x y))))

series229.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- x y))
49.0ms
(* (- z y) (/ 1 (- x y)))
145.0ms
(/ t (* (- z y) (/ 1 (- x y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0416735
11904622
25003574

prune241.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1174
2174

end0.0ms

sample450.0ms

Algorithm
intervals
Results
232.0ms8758×body80valid