Details

Time bar (total: 11.8s)

sample26.0ms

Algorithm
intervals
Results
9.0ms278×body80valid

simplify213.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4769
51089
61339
71489
81619
91669
done1669

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite108.0ms

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:
36.0ms
(/ (- x y) (- z y))
65.0ms
(* (/ (- x y) (- z y)) t)

series193.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (- x y) (- z y))
128.0ms
(* (/ (- x y) (- z y)) t)

simplify2.0s

Counts
112 → 112
Iterations

Useful iterations: 2 (221.0ms)

IterNodesCost
01471339
13691303
29841219
329821219
done50001219

prune279.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
61×add-sqr-sqrt
48×times-frac
27×add-cube-cbrt
20×distribute-lft-out--
18×associate-*l*
14×difference-of-squares
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l*
5×pow1 flip3-- flip--
4×associate-*l/ div-inv
3×expm1-log1p-u distribute-rgt-out-- associate-*r* log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
3 → 117
Calls
3 calls:
16.0ms
(/ x (- z y))
16.0ms
(/ y (- z y))
341.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series273.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ x (- z y))
60.0ms
(/ y (- z y))
171.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify1.8s

Counts
126 → 126
Iterations

Useful iterations: 2 (145.0ms)

IterNodesCost
01801430
13601371
29131297
325061297
done50021297

prune288.0ms

Pruning

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

rewrite192.0ms

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:
27.0ms
(/ (- z y) (- x y))
31.0ms
(/ 1 (/ (- z y) (- x y)))
105.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series405.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ (- z y) (- x y))
146.0ms
(/ 1 (/ (- z y) (- x y)))
195.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify1.5s

Counts
341 → 341
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03565362
18604513
218644132
done50004056

prune680.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
2.2b
(/ t (/ (- z y) (- x y)))

rewrite62.0ms

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:
26.0ms
(/ (- z y) (- x y))
24.0ms
(/ t (/ (- z y) (- x y)))

series260.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (- z y) (- x y))
203.0ms
(/ t (/ (- z y) (- x y)))

simplify1.4s

Counts
204 → 204
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune674.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes211.0ms

Accuracy

9.9% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.1b

bsearch93.0ms

Steps
ItersRangePoint
9
5.96338064631678e-192
2.944370353819073e-186
2.6539736025348436e-190
7
-5.2742662213909245e-304
-1.9636081948043714e-305
-5.886890747873426e-305

simplify8.0ms

Iterations

Useful iterations: done (8.0ms)

IterNodesCost
02555
13440
done3438

end0.0ms

sample787.0ms

Algorithm
intervals
Results
322.0ms8697×body80valid