Details

Time bar (total: 8.8s)

sample46.0ms

Algorithm
intervals
Results
16.0ms283×body80valid

simplify289.0ms

Counts
1 → 1
Iterations
IterNodes
done185
11185
10183
9177
8170
7155
6138
5109
477
349
225
117
08

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.7b
(* (/ (- x y) (- z y)) t)

rewrite74.0ms

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-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 106
Calls
2 calls:
22.0ms
(/ (- x y) (- z y))
48.0ms
(* (/ (- x y) (- z y)) t)

series217.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (- x y) (- z y))
152.0ms
(* (/ (- x y) (- z y)) t)

simplify839.0ms

Counts
112 → 112
Iterations
IterNodes
done5001
21481
1381
0147

prune710.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- z y))
0.0b
(/ x (- z y))
2.7b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
61×add-sqr-sqrt
48×times-frac
27×add-cube-cbrt
20×distribute-lft-out--
18×associate-*l*
14×difference-of-squares
10×associate-/r*
9×add-cbrt-cube add-exp-log
8×associate-/r/
6×associate-/l*
5×pow1 flip3-- flip--
4×associate-*l/ div-inv
3×expm1-log1p-u distribute-rgt-out-- associate-*r* log1p-expm1-u add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
3 → 117
Calls
3 calls:
14.0ms
(/ y (- z y))
9.0ms
(/ x (- z y))
277.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series297.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ y (- z y))
55.0ms
(/ x (- z y))
187.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify630.0ms

Counts
126 → 126
Iterations
IterNodes
done5000
21234
1380
0180

prune719.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
10.2b
(* (- x y) (/ t (- z y)))

rewrite77.0ms

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-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-*l*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×expm1-log1p-u frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 87
Calls
2 calls:
20.0ms
(/ t (- z y))
52.0ms
(* (- x y) (/ t (- z y)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ t (- z y))
105.0ms
(* (- x y) (/ t (- z y)))

simplify880.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
21705
1325
0134

prune492.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x y) t)
12.4b
(/ (* (- x y) t) (- z y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*l*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×expm1-log1p-u cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
22.0ms
(* (- x y) t)
18.0ms
(/ (* (- x y) t) (- z y))

series136.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (- x y) t)
87.0ms
(/ (* (- x y) t) (- z y))

simplify1.2s

Counts
61 → 61
Iterations
IterNodes
done5000
21496
1273
0105

prune333.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes304.0ms

Accuracy

1.1% (2.2b remaining)

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

bsearch131.0ms

Steps
ItersRangePoint
9
5.435878667646499e-106
5.166766956205729e-97
1.7555968102761535e-97
7
4.592847068933146e-224
3.961515632005351e-222
5.259516187712176e-223

simplify3.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample871.0ms

Algorithm
intervals
Results
381.0ms8702×body80valid