Details

Time bar (total: 6.3s)

sample23.0ms

Algorithm
intervals
Results
9.0ms347×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
9.3b
(/ (- (* x y) (* z t)) a)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
7.0ms
(/ (- (* x y) (* z t)) a)

series93.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* x y) (* z t))
53.0ms
(/ (- (* x y) (* z t)) a)

simplify1.1s

Counts
54 → 54
Iterations

Useful iterations: done (1.1s)

IterNodesCost
088706
1220679
2769628
32734628
done5000626

prune167.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y (/ x a)) (/ (* t z) a))
4.0b
(* y (/ x a))
8.1b
(/ (* t z) a)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* add-cbrt-cube
7×prod-diff
5×pow1 add-log-exp
3×cbrt-undiv expm1-log1p-u associate-*r/ div-exp associate-*l* prod-exp associate-/r* cbrt-unprod log1p-expm1-u div-inv
2×unswap-sqr
1×sub-neg flip3-- frac-2neg fma-neg diff-log pow-prod-down clear-num *-commutative frac-sub flip-- associate-/l* sub-div
Counts
3 → 81
Calls
3 calls:
6.0ms
(- (* y (/ x a)) (/ (* t z) a))
7.0ms
(* y (/ x a))
3.0ms
(/ (* t z) a)

series106.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (* y (/ x a)) (/ (* t z) a))
18.0ms
(* y (/ x a))
20.0ms
(/ (* t z) a)

simplify852.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (154.0ms)

IterNodesCost
01741074
1460946
21942837
done5000837

prune238.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
1.1b
(/ (* z (/ t (* (cbrt a) (cbrt a)))) (cbrt a))
2.8b
(* z (/ t (* (cbrt a) (cbrt a))))
4.0b
(* y (/ x a))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
29×add-sqr-sqrt
24×add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
10×prod-exp cbrt-unprod
9×cbrt-undiv cbrt-prod div-exp
8×pow1
6×associate-*l* associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/ div-inv
2×pow-prod-down *-commutative
1×frac-2neg pow1/3 clear-num associate-/l/ associate-/l*
Counts
4 → 111
Calls
4 calls:
0.0ms
(cbrt a)
11.0ms
(/ (* z (/ t (* (cbrt a) (cbrt a)))) (cbrt a))
13.0ms
(* z (/ t (* (cbrt a) (cbrt a))))
9.0ms
(* y (/ x a))

series371.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt a)
47.0ms
(/ (* z (/ t (* (cbrt a) (cbrt a)))) (cbrt a))
126.0ms
(* z (/ t (* (cbrt a) (cbrt a))))
19.0ms
(* y (/ x a))

simplify793.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
02001334
14921252
22255878
done5000878

prune362.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y (/ x a)) (* z (/ t a)))
3.6b
(* z (/ t a))
4.0b
(* y (/ x a))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×associate-*r*
20×times-frac
19×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
7×pow1
6×associate-*r/ associate-*l*
5×add-log-exp
4×prod-exp cbrt-unprod unswap-sqr
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×sub-neg flip3-- fma-neg diff-log prod-diff frac-sub flip-- sub-div
Counts
3 → 86
Calls
3 calls:
7.0ms
(- (* y (/ x a)) (* z (/ t a)))
7.0ms
(* z (/ t a))
7.0ms
(* y (/ x a))

series108.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- (* y (/ x a)) (* z (/ t a)))
19.0ms
(* z (/ t a))
19.0ms
(* y (/ x a))

simplify666.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
0164913
1421848
21714781
done5001781

prune234.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes431.0ms

Accuracy

73.8% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 5.3b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
039109
147109
done47109

end0.0ms

sample628.0ms

Algorithm
intervals
Results
311.0ms11156×body80valid