Details

Time bar (total: 11.7s)

sample22.0ms

Algorithm
intervals
Results
10.0ms281×body80valid

simplify148.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3569
4859
51119
61369
71489
81579
done1579

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.7b
(/ (* x (- y z)) (- t z))

rewrite87.0ms

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:
34.0ms
(* x (- y z))
49.0ms
(/ (* x (- y z)) (- t z))

series177.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* x (- y z))
117.0ms
(/ (* x (- y z)) (- t z))

simplify1.3s

Counts
83 → 83
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01571123
1347936
21005772
done5000748

prune224.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.5b
(/ x (/ (- t z) (- y z)))

rewrite75.0ms

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:
32.0ms
(/ (- t z) (- y z))
30.0ms
(/ x (/ (- t z) (- y z)))

series255.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (- t z) (- y z))
195.0ms
(/ x (/ (- t z) (- y z)))

simplify2.0s

Counts
204 → 204
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune600.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.6b
(* x (/ (- y z) (- t z)))

rewrite138.0ms

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:
43.0ms
(/ (- y z) (- t z))
81.0ms
(* x (/ (- y z) (- t z)))

series200.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (- y z) (- t z))
131.0ms
(* x (/ (- y z) (- t z)))

simplify2.4s

Counts
112 → 112
Iterations

Useful iterations: 2 (197.0ms)

IterNodesCost
01421355
13521282
29701200
329051200
done50001200

prune405.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y z))
0.0b
(/ 1 (- t z))
12.8b
(* (* x (- y z)) (/ 1 (- t z)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
52×*-un-lft-identity
36×add-cube-cbrt
31×add-exp-log
30×times-frac
26×associate-*r*
19×add-cbrt-cube
18×prod-diff
13×prod-exp
11×pow1 distribute-rgt-in distribute-lft-in
8×distribute-lft-out-- difference-of-squares
7×associate-*r/ cbrt-unprod
6×div-exp
5×flip3-- associate-/r* flip--
4×associate-*l* pow-prod-down associate-/r/
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp
2×frac-times sub-neg associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num un-div-inv inv-pow unswap-sqr
Counts
3 → 141
Calls
3 calls:
44.0ms
(* x (- y z))
23.0ms
(/ 1 (- t z))
109.0ms
(* (* x (- y z)) (/ 1 (- t z)))

series225.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* x (- y z))
66.0ms
(/ 1 (- t z))
105.0ms
(* (* x (- y z)) (/ 1 (- t z)))

simplify1.5s

Counts
150 → 150
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02161913
14831517
214181283
done50001259

prune458.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
done89

end0.0ms

sample1.0s

Algorithm
intervals
Results
567.0ms8724×body80valid