Details

Time bar (total: 10.0s)

sample18.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify116.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1179
2249
3489
4739
51009
61259
71419
81549
91599
done1599

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
0.9b
(* (/ (- x y) (- z y)) t)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
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-*r* 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 pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
12.0ms
(/ (- x y) (- z y))
28.0ms
(* (/ (- x y) (- z y)) t)

series148.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- x y) (- z y))
96.0ms
(* (/ (- x y) (- z y)) t)

simplify1.9s

Counts
112 → 112
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01471339
13701303
29741219
330951219
done50011217

prune250.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
7.1b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
84×add-exp-log
45×prod-exp
38×cbrt-prod
36×add-sqr-sqrt
34×*-un-lft-identity
31×add-cbrt-cube
28×cbrt-div
23×associate-*l*
19×div-exp cbrt-unprod
16×pow1 add-cube-cbrt
14×flip3-- flip--
10×swap-sqr
9×cbrt-undiv frac-times associate-*r*
8×pow1/3 associate-/r/ distribute-lft-out--
7×associate-*l/
6×rec-exp 1-exp difference-of-squares
5×associate-*r/ pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×times-frac
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 153
Calls
4 calls:
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
22.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
86.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series550.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (- z y))
141.0ms
(cbrt (- z y))
119.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
150.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify903.0ms

Counts
165 → 165
Iterations

Useful iterations: done (898.0ms)

IterNodesCost
02373017
16192706
220632026
done50002018

prune439.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
10.3b
(* (- x y) (/ t (- z y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
5.0ms
(/ t (- z y))
24.0ms
(* (- x y) (/ t (- z y)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ t (- z y))
65.0ms
(* (- x y) (/ t (- z y)))

simplify2.9s

Counts
93 → 93
Iterations

Useful iterations: 2 (144.0ms)

IterNodesCost
01341009
1302962
21100888
34976888
done5000888

prune207.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x y) t)
10.1b
(/ (* (- x y) t) (- z y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u 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 → 55
Calls
2 calls:
10.0ms
(* (- x y) t)
10.0ms
(/ (* (- x y) t) (- z y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- x y) t)
64.0ms
(/ (* (- x y) t) (- z y))

simplify1.4s

Counts
61 → 61
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
0105597
1265576
21041502
done5000502

prune133.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (2.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample459.0ms

Algorithm
intervals
Results
238.0ms8683×body80valid