Details

Time bar (total: 11.1s)

sample18.0ms

Algorithm
intervals
Results
7.0ms273×body80valid

simplify106.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2299
3559
4839
51099
61349
71469
81559
done1559

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
8.4b
(/ (* x (- y z)) (- t z))

rewrite33.0ms

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

series114.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* x (- y z))
71.0ms
(/ (* x (- y z)) (- t z))

simplify2.2s

Counts
83 → 83
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01571123
1343936
21017772
34819730
done5000730

prune705.0ms

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
(/ (- y z) (- t z))
2.7b
(* x (/ (- y z) (- t z)))

rewrite43.0ms

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))
26.0ms
(* x (/ (- y z) (- t z)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- y z) (- t z))
74.0ms
(* x (/ (- y z) (- t z)))

simplify1.4s

Counts
112 → 112
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01421355
13571282
29351200
328661200
done50001198

prune272.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.7b
(/ x (/ (- t z) (- y z)))

rewrite44.0ms

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))
19.0ms
(/ x (/ (- t z) (- y z)))

series218.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- t z) (- y z))
168.0ms
(/ x (/ (- t z) (- y z)))

simplify924.0ms

Counts
204 → 204
Iterations

Useful iterations: 2 (296.0ms)

IterNodesCost
02743524
16433300
222323198
done50013198

prune503.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.8b
(/ 1 (/ (/ (- t z) (- y z)) x))
2.6b
(/ (/ (- t z) (- y z)) x)

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp div-sub clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 617
Calls
3 calls:
14.0ms
(/ (- t z) (- y z))
36.0ms
(/ 1 (/ (/ (- t z) (- y z)) x))
21.0ms
(/ (/ (- t z) (- y z)) x)

series310.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- t z) (- y z))
167.0ms
(/ 1 (/ (/ (- t z) (- y z)) x))
93.0ms
(/ (/ (- t z) (- y z)) x)

simplify2.1s

Counts
626 → 626
Iterations

Useful iterations: 2 (1.5s)

IterNodesCost
070913987
1178712363
2392611117
done500111117

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes131.0ms

Accuracy

-3.3% (2.4b remaining)

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

bsearch66.0ms

Steps
ItersRangePoint
5
5.420416486519561e-189
2.1317855613051496e-188
1.3630667508234389e-188
8
-0.008135521330398372
-1.1893147564346013e-06
-1.2131459224267867e-06

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01939
12531
done2531

end0.0ms

sample449.0ms

Algorithm
intervals
Results
230.0ms8722×body80valid