Details

Time bar (total: 4.1s)

sample20.0ms

Algorithm
intervals
Results
7.0ms281×body80valid

simplify59.0ms

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: 1.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite73.0ms

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:
25.0ms
(/ (- x y) (- z y))
43.0ms
(* (/ (- x y) (- z y)) t)

series132.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- x y) (- z y))
89.0ms
(* (/ (- x y) (- z y)) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune212.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- z y))
4.0ms
(cbrt (- z y))
4.0ms
(cbrt (- z y))

series567.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- x y))
133.0ms
(cbrt (- z y))
144.0ms
(cbrt (- z y))
139.0ms
(cbrt (- z y))

simplify48.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0240452
1531432
21479420
35001392

prune286.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.3b
(/ 1 (/ (- z y) (- x y)))
1.8b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite155.0ms

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:
23.0ms
(/ (- z y) (- x y))
28.0ms
(/ 1 (/ (- z y) (- x y)))
79.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series310.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (- z y) (- x y))
127.0ms
(/ 1 (/ (- z y) (- x y)))
141.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify99.0ms

Algorithm
egg-herbie
Counts
341 → 341
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08852703
142142416
250012191

prune565.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
2.0b
(/ t (/ (- z y) (- x y)))

rewrite63.0ms

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:
27.0ms
(/ (- z y) (- x y))
24.0ms
(/ t (/ (- z y) (- x y)))

series182.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- z y) (- x y))
134.0ms
(/ t (/ (- z y) (- x y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06421801
128871748
250011745

prune456.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11618

end0.0ms

sample520.0ms

Algorithm
intervals
Results
221.0ms8761×body80valid