Details

Time bar (total: 11.0s)

sample38.0ms

Algorithm
intervals
Results
19.0ms281×body80valid

simplify174.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite119.0ms

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:
56.0ms
(* x (- y z))
58.0ms
(/ (* x (- y z)) (- t z))

series208.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* x (- y z))
133.0ms
(/ (* x (- y z)) (- t z))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01571123
1347936
21005772
done5000748

prune263.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

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:
28.0ms
(/ (- t z) (- y z))
34.0ms
(/ x (/ (- t z) (- y z)))

series368.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(/ (- t z) (- y z))
271.0ms
(/ x (/ (- t z) (- y z)))

simplify1.5s

Counts
204 → 204
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune637.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite122.0ms

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:
39.0ms
(/ (- y z) (- t z))
76.0ms
(* x (/ (- y z) (- t z)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (- y z) (- t z))
94.0ms
(* x (/ (- y z) (- t z)))

simplify1.9s

Counts
112 → 112
Iterations

Useful iterations: 2 (198.0ms)

IterNodesCost
01421355
13521282
29701200
329051200
done50001200

prune337.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
31×add-exp-log
30×times-frac
26×associate-*l*
24×add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
8×distribute-lft-out-- difference-of-squares
7×associate-*l/ cbrt-unprod
6×div-exp
5×flip3-- associate-/r* flip--
4×associate-*r* 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 associate-*r/ *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow unswap-sqr
Counts
3 → 118
Calls
3 calls:
36.0ms
(* (- y z) x)
13.0ms
(/ 1 (- t z))
82.0ms
(* (/ 1 (- t z)) (* (- y z) x))

series339.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* (- y z) x)
47.0ms
(/ 1 (- t z))
253.0ms
(* (/ 1 (- t z)) (* (- y z) x))

simplify1.7s

Counts
127 → 127
Iterations

Useful iterations: 2 (363.0ms)

IterNodesCost
01681376
14221172
214321030
done50001030

prune386.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes224.0ms

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 (0.0ms)

IterNodesCost
089
done89

end0.0ms

sample1.1s

Algorithm
intervals
Results
493.0ms8724×body80valid