Details

Time bar (total: 9.0s)

sample21.0ms

Algorithm
intervals
Results
7.0ms289×body80valid

simplify132.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3569
4859
51119
61369
71489
81579
done1579

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.8b
(/ (* x (- y z)) (- t z))

rewrite61.0ms

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:
25.0ms
(* x (- y z))
32.0ms
(/ (* x (- y z)) (- t z))

series116.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (- y z))
77.0ms
(/ (* x (- y z)) (- t z))

simplify830.0ms

Counts
83 → 83
Iterations

Useful iterations: done (828.0ms)

IterNodesCost
01571123
1347936
21005772
done5000748

prune147.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.2b
(* x (/ (- y z) (- t z)))

rewrite80.0ms

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:
28.0ms
(/ (- y z) (- t z))
46.0ms
(* x (/ (- y z) (- t z)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- y z) (- t z))
74.0ms
(* x (/ (- y z) (- t z)))

simplify1.5s

Counts
112 → 112
Iterations

Useful iterations: 2 (139.0ms)

IterNodesCost
01421355
13521282
29701200
329051200
done50001200

prune245.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.2b
(/ x (/ (- t z) (- y z)))

rewrite68.0ms

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:
25.0ms
(/ (- t z) (- y z))
30.0ms
(/ x (/ (- t z) (- y z)))

series214.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- t z) (- y z))
162.0ms
(/ x (/ (- t z) (- y z)))

simplify1.1s

Counts
204 → 204
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune454.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
1.2b
(* x (* (- y z) (/ 1 (- t z))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 125
Calls
3 calls:
13.0ms
(/ 1 (- t z))
51.0ms
(* (- y z) (/ 1 (- t z)))
60.0ms
(* x (* (- y z) (/ 1 (- t z))))

series171.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ 1 (- t z))
51.0ms
(* (- y z) (/ 1 (- t z)))
77.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify2.7s

Counts
134 → 134
Iterations

Useful iterations: 2 (189.0ms)

IterNodesCost
01641512
13751232
211731072
347761072
done50001072

prune241.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
done89

end0.0ms

sample565.0ms

Algorithm
intervals
Results
225.0ms8726×body80valid