Details

Time bar (total: 19.5s)

sample55.0ms

Algorithm
intervals
Results
27.0ms324×body80valid

simplify238.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
34111
46211
57911
69511
711211
811911
912211
done12211

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
3.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite581.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
75.0ms
(- (/ y z) (/ t (- 1.0 z)))
13.0ms
(/ t (- 1.0 z))
305.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series207.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(- (/ y z) (/ t (- 1.0 z)))
67.0ms
(/ t (- 1.0 z))
74.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify3.1s

Counts
936 → 936
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0100949986
1165444871
2350733786
done500033785

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b
(/ 1 (- 1.0 z))
0.2b
(* t (/ 1 (- 1.0 z)))
3.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
69×*-un-lft-identity
68×times-frac
54×add-cube-cbrt
39×prod-diff
24×associate-*r*
19×add-exp-log
15×distribute-rgt-in distribute-lft-in
13×fma-neg add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* div-inv add-log-exp
5×prod-exp associate-/r*
4×expm1-log1p-u flip3-- div-exp associate-/r/ frac-sub flip-- log1p-expm1-u unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 185
Calls
4 calls:
44.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
25.0ms
(/ 1 (- 1.0 z))
57.0ms
(* t (/ 1 (- 1.0 z)))
86.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series189.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
31.0ms
(/ 1 (- 1.0 z))
47.0ms
(* t (/ 1 (- 1.0 z)))
62.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify3.2s

Counts
197 → 197
Iterations

Useful iterations: done (3.2s)

IterNodesCost
02843347
16172768
215012527
344392350
done50002347

prune539.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
3.6b
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
26×prod-diff
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
18×times-frac
15×distribute-rgt-in distribute-lft-in
9×cbrt-prod
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×sub-neg div-inv
1×flip3-- pow-prod-down prod-exp *-commutative frac-sub flip-- cbrt-unprod unswap-sqr
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
92.0ms
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

series870.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(cbrt t)
236.0ms
(cbrt t)
279.0ms
(cbrt t)
105.0ms
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

simplify2.9s

Counts
104 → 104
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01632260
13302231
29661639
342501205
done50001205

prune403.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (/ x z)) (* (/ t (- 1.0 z)) (- x)))
0.0b
(/ t (- 1.0 z))
3.1b
(* (/ t (- 1.0 z)) (- x))
3.7b
(* y (/ x z))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
48×*-un-lft-identity
41×times-frac
34×add-cube-cbrt
24×associate-*l*
23×associate-*r*
16×add-exp-log add-cbrt-cube
8×pow1
7×distribute-lft-out-- difference-of-squares
6×add-log-exp
5×associate-/r*
4×expm1-log1p-u prod-exp associate-/r/ cbrt-unprod log1p-expm1-u unswap-sqr
3×cbrt-undiv distribute-lft-neg-in distribute-rgt-neg-in div-exp distribute-rgt-neg-out div-inv associate-/l*
2×flip3-- associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
1×+-commutative neg-mul-1 fma-def frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+
Counts
4 → 140
Calls
4 calls:
16.0ms
(+ (* y (/ x z)) (* (/ t (- 1.0 z)) (- x)))
19.0ms
(/ t (- 1.0 z))
63.0ms
(* (/ t (- 1.0 z)) (- x))
25.0ms
(* y (/ x z))

series248.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(+ (* y (/ x z)) (* (/ t (- 1.0 z)) (- x)))
55.0ms
(/ t (- 1.0 z))
77.0ms
(* (/ t (- 1.0 z)) (- x))
27.0ms
(* y (/ x z))

simplify1.7s

Counts
152 → 152
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02581711
16891591
222041486
done50001456

prune520.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes363.0ms

Accuracy

12.2% (3.9b remaining)

Error of 4.0b against oracle of 0.0b and baseline of 4.5b

bsearch133.0ms

Steps
ItersRangePoint
8
1.2896822248683738e-160
6.036235563768333e-156
4.150754646520127e-156
9
-2.343856942363733e-103
-5.0983811848635975e-111
-5.1125168486958283e-104

simplify8.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02448
13636
24236
34336
done4336

end0.0ms

sample1.7s

Algorithm
intervals
Results
685.0ms10156×body80valid