Details

Time bar (total: 3.8s)

sample18.0ms

Algorithm
intervals
Results
7.0ms282×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: 2.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.3b
(* (/ (- 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)

series145.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (- z y))
98.0ms
(* (/ (- x y) (- z y)) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune248.0ms

Pruning

8 alts after pruning (7 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)))
2.3b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite102.0ms

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:
12.0ms
(/ (- z y) (- x y))
15.0ms
(/ 1 (/ (- z y) (- x y)))
55.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series349.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- z y) (- x y))
142.0ms
(/ 1 (/ (- z y) (- x y)))
159.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify103.0ms

Algorithm
egg-herbie
Counts
341 → 341
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08852703
142142416
250012191

prune576.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
2.5b
(/ t (/ (- z y) (- x y)))

rewrite42.0ms

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:
16.0ms
(/ (- z y) (- x y))
14.0ms
(/ t (/ (- z y) (- x y)))

series201.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- z y) (- x y))
147.0ms
(/ t (/ (- z y) (- x y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06421801
128871748
250011745

prune673.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
11.1b
(* (- x y) (/ t (- z y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
5.0ms
(/ t (- z y))
23.0ms
(* (- x y) (/ t (- z y)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ t (- z y))
66.0ms
(* (- x y) (/ t (- z y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0301489
11365452
25001452

prune182.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0.1% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch43.0ms

Steps
ItersRangePoint
4
2.0948030735391596e-148
3.2380853527044285e-148
2.6729980534054872e-148
7
4.113829662873505e-282
7.782883622955396e-280
3.2554078815889216e-281

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample438.0ms

Algorithm
intervals
Results
224.0ms8719×body80valid