Details

Time bar (total: 8.9s)

sample48.0ms

Algorithm
intervals
Results
23.0ms272×body80valid

simplify145.0ms

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: 13.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.5b
(/ (* x (- y z)) (- t z))

rewrite62.0ms

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:
28.0ms
(* x (- y z))
31.0ms
(/ (* x (- y z)) (- t z))

series115.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
77.0ms
(/ (* x (- y z)) (- t z))

simplify847.0ms

Counts
83 → 83
Iterations

Useful iterations: done (845.0ms)

IterNodesCost
01571123
1347936
21005772
done5000748

prune155.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.0b
(/ x (/ (- t z) (- y z)))

rewrite88.0ms

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:
33.0ms
(/ (- t z) (- y z))
34.0ms
(/ x (/ (- t z) (- y z)))

series270.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (- t z) (- y z))
201.0ms
(/ x (/ (- t z) (- y z)))

simplify1.3s

Counts
204 → 204
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune600.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.1b
(* x (/ (- y z) (- t z)))

rewrite86.0ms

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:
24.0ms
(/ (- y z) (- t z))
57.0ms
(* x (/ (- y z) (- t z)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (- y z) (- t z))
78.0ms
(* x (/ (- y z) (- t z)))

simplify1.8s

Counts
112 → 112
Iterations

Useful iterations: 2 (195.0ms)

IterNodesCost
01421355
13521282
29701200
329051200
done50001200

prune304.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
9.1b
(* (/ x (- t z)) (- y z))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
12.0ms
(/ x (- t z))
54.0ms
(* (/ x (- t z)) (- y z))

series210.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ x (- t z))
172.0ms
(* (/ x (- t z)) (- y z))

simplify1.1s

Counts
115 → 115
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01941693
14571501
212731335
done50001311

prune287.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes193.0ms

Accuracy

40.9% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01651
12043
done2043

end0.0ms

sample1.1s

Algorithm
intervals
Results
494.0ms8748×body80valid