Details

Time bar (total: 12.1s)

sample22.0ms

Algorithm
intervals
Results
8.0ms263×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3659
41569
54079
613729
done50009

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.0b
(/ x (* (- y z) (- t z)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
51.0ms
(* (- y z) (- t z))
25.0ms
(/ x (* (- y z) (- t z)))

series250.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (- y z) (- t z))
199.0ms
(/ x (* (- y z) (- t z)))

simplify1.1s

Counts
69 → 69
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0124860
1312844
21647762
done5000756

prune261.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
1.4b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
12.0ms
(/ 1 (- y z))
11.0ms
(/ x (- t z))
97.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series456.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ 1 (- y z))
53.0ms
(/ x (- t z))
350.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify2.3s

Counts
159 → 159
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01981884
15651738
232401488
done50011478

prune517.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.4b
(/ (/ x (- t z)) (- y z))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
14.0ms
(/ x (- t z))
42.0ms
(/ (/ x (- t z)) (- y z))

series220.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (- t z))
188.0ms
(/ (/ x (- t z)) (- y z))

simplify1.2s

Counts
191 → 191
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02643352
16523172
225043104
done50003100

prune623.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ 1 (/ (- t z) x))
1.4b
(/ (/ 1 (/ (- t z) x)) (- y z))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
1039×times-frac
661×add-sqr-sqrt *-un-lft-identity
403×add-cube-cbrt
129×distribute-lft-out-- difference-of-squares
65×associate-/l*
32×add-exp-log
30×div-inv
24×associate-/r*
21×div-exp
16×add-cbrt-cube
9×cbrt-undiv associate-/r/
4×rec-exp 1-exp
3×pow1
2×frac-2neg clear-num add-log-exp
1×flip3-- pow-flip flip-- associate-/l/ inv-pow
Counts
2 → 500
Calls
2 calls:
17.0ms
(/ 1 (/ (- t z) x))
59.0ms
(/ (/ 1 (/ (- t z) x)) (- y z))

series315.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ 1 (/ (- t z) x))
244.0ms
(/ (/ 1 (/ (- t z) x)) (- y z))

simplify1.0s

Counts
506 → 506
Iterations

Useful iterations: done (999.0ms)

IterNodesCost
065011748
117929919
done50009693

prune741.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes176.0ms

Accuracy

67.1% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01647
12039
done2039

end0.0ms

sample854.0ms

Algorithm
intervals
Results
348.0ms8426×body80valid