Details

Time bar (total: 5.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms286×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
14.0ms
(/ (- x y) (- z y))
23.0ms
(* (/ (- x y) (- z y)) t)

series142.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (- z y))
95.0ms
(* (/ (- x y) (- z y)) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune219.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.2b
(/ 1 (/ (- z y) (- x y)))
1.8b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite96.0ms

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:
11.0ms
(/ (- z y) (- x y))
14.0ms
(/ 1 (/ (- z y) (- x y)))
51.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series322.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (- z y) (- x y))
128.0ms
(/ 1 (/ (- z y) (- x y)))
148.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify103.0ms

Algorithm
egg-herbie
Counts
341 → 341
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08852703
142142416
250012191

prune578.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
1.7b
(/ t (/ (- z y) (- x y)))

rewrite39.0ms

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:
11.0ms
(/ (- z y) (- x y))
17.0ms
(/ t (/ (- z y) (- x y)))

series192.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z y) (- x y))
147.0ms
(/ t (/ (- z y) (- x y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06421801
128871748
250011745

prune467.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- x y)) (/ y (- x y)))
0.0b
(/ y (- x y))
0.0b
(/ z (- x y))
1.7b
(/ t (- (/ z (- x y)) (/ y (- x y))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
848×*-un-lft-identity
819×times-frac
798×add-sqr-sqrt
444×add-cube-cbrt
441×prod-diff
197×distribute-lft-out--
167×difference-of-squares
114×associate-/r/
57×flip3-- flip--
56×div-inv
28×associate-/r*
21×fma-neg
15×distribute-rgt-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 664
Calls
4 calls:
65.0ms
(- (/ z (- x y)) (/ y (- x y)))
5.0ms
(/ y (- x y))
5.0ms
(/ z (- x y))
71.0ms
(/ t (- (/ z (- x y)) (/ y (- x y))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (/ z (- x y)) (/ y (- x y)))
46.0ms
(/ y (- x y))
27.0ms
(/ z (- x y))
107.0ms
(/ t (- (/ z (- x y)) (/ y (- x y))))

simplify268.0ms

Algorithm
egg-herbie
Counts
676 → 676
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0141216598
1437412324
2500112324

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

-6% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.3b

bsearch72.0ms

Steps
ItersRangePoint
10
7.915794707770922e-83
7.77049594483986e-69
6.040132035498299e-75
7
-1.0848787444486153e-160
-5.723183354001865e-163
-9.391012596131441e-161

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample437.0ms

Algorithm
intervals
Results
225.0ms8716×body80valid