Details

Time bar (total: 9.0s)

sample18.0ms

Algorithm
intervals
Results
7.0ms289×body80valid

simplify102.0ms

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: 13.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.5b
(/ (* x (- y z)) (- t z))

rewrite30.0ms

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:
13.0ms
(* x (- y z))
14.0ms
(/ (* x (- y z)) (- t z))

series99.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (- y z))
62.0ms
(/ (* x (- y z)) (- t z))

simplify2.2s

Counts
83 → 83
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01571123
1347936
21021772
34826730
done5000730

prune154.0ms

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))
2.6b
(/ x (/ (- t z) (- y z)))

rewrite42.0ms

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)))

series198.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- t z) (- y z))
148.0ms
(/ x (/ (- t z) (- y z)))

simplify1.1s

Counts
204 → 204
Iterations

Useful iterations: 2 (290.0ms)

IterNodesCost
02743524
16433300
222323198
done50003198

prune463.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.9b
(/ x (/ (* (cbrt (- t z)) (cbrt (- t z))) (* (cbrt (- y z)) (cbrt (- y z)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-div
43×times-frac
33×associate-/r/
31×add-sqr-sqrt *-un-lft-identity
27×flip3-- flip--
25×add-cube-cbrt
22×add-exp-log
16×frac-times
15×cbrt-prod
14×add-cbrt-cube
13×associate-/r*
9×cbrt-undiv div-exp
8×associate-*r/ associate-*l/
5×div-inv
4×pow1 expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3 associate-/l* distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num
Counts
4 → 129
Calls
4 calls:
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
20.0ms
(/ x (/ (* (cbrt (- t z)) (cbrt (- t z))) (* (cbrt (- y z)) (cbrt (- y z)))))

series655.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (- y z))
153.0ms
(cbrt (- y z))
159.0ms
(cbrt (- y z))
195.0ms
(/ x (/ (* (cbrt (- t z)) (cbrt (- t z))) (* (cbrt (- y z)) (cbrt (- y z)))))

simplify747.0ms

Counts
141 → 141
Iterations

Useful iterations: 2 (238.0ms)

IterNodesCost
02633332
16163203
220182921
done50002921

prune545.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:
15.0ms
(/ (- y z) (- t z))
24.0ms
(* x (/ (- y z) (- t z)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- y z) (- t z))
65.0ms
(* x (/ (- y z) (- t z)))

simplify1.6s

Counts
112 → 112
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01421355
13571282
29371200
328711200
done50001198

prune232.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes123.0ms

Accuracy

4.1% (2.3b remaining)

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

bsearch54.0ms

Steps
ItersRangePoint
3
9.199102238044756e-11
1.1303867620315504e-10
1.0383032765572051e-10
9
-6.490863239136989e-233
-3.919525447834205e-240
-2.7061335562483838e-235

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02037
12537
done2537

end0.0ms

sample453.0ms

Algorithm
intervals
Results
235.0ms8757×body80valid