Details

Time bar (total: 8.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms282×body80valid

simplify96.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2299
3559
4839
51099
61349
71469
81569
done1569

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.1b
(/ (* x (- y z)) (- t z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
12.0ms
(* x (- y z))
14.0ms
(/ (* x (- y z)) (- t z))

series109.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
71.0ms
(/ (* x (- y z)) (- t z))

simplify724.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
01571123
1343936
21338754
done5000754

prune160.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
12.0ms
(/ (- t z) (- y z))
14.0ms
(/ x (/ (- t z) (- y z)))

series209.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- t z) (- y z))
157.0ms
(/ x (/ (- t z) (- y z)))

simplify1.0s

Counts
204 → 204
Iterations

Useful iterations: 2 (268.0ms)

IterNodesCost
02743524
16433300
224413198
done50003198

prune459.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
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-*l* 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 associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
12.0ms
(/ (- y z) (- t z))
25.0ms
(* x (/ (- y z) (- t z)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (- y z) (- t z))
72.0ms
(* x (/ (- y z) (- t z)))

simplify2.1s

Counts
112 → 112
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01421355
13571282
211371200
343821200
done50011198

prune246.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

1.1b
(+ (* x y) (* x (- z)))
12.1b
(/ (+ (* x y) (* x (- z))) (- t z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt *-un-lft-identity
20×times-frac
13×add-cube-cbrt
7×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-exp-log distribute-rgt-neg-out add-cbrt-cube associate-/l* add-log-exp
2×pow1 expm1-log1p-u flip3-+ div-sub unsub-neg associate-/r/ flip-+ log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative flip3-- fma-def frac-2neg div-exp clear-num sum-log flip-- div-inv
Counts
2 → 66
Calls
2 calls:
3.0ms
(+ (* x y) (* x (- z)))
12.0ms
(/ (+ (* x y) (* x (- z))) (- t z))

series112.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* x y) (* x (- z)))
72.0ms
(/ (+ (* x y) (* x (- z))) (- t z))

simplify2.0s

Counts
72 → 72
Iterations

Useful iterations: 3 (679.0ms)

IterNodesCost
01111156
1269887
2956836
34432829
done5000829

prune163.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

-9% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.0b

bsearch57.0ms

Steps
ItersRangePoint
7
1.2547523394300577e-213
1.422627522925298e-211
1.204072221446801e-212
5
-7.70921341637642e-69
-2.2887303055087398e-69
-3.543374415214875e-69

simplify4.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01938
12730
23030
33130
done3130

end0.0ms

sample459.0ms

Algorithm
intervals
Results
233.0ms8752×body80valid