Details

Time bar (total: 10.1s)

sample39.0ms

Algorithm
intervals
Results
15.0ms270×body80valid

simplify232.0ms

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: 10.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.0b
(/ (* x (- y z)) (- t z))

rewrite80.0ms

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:
29.0ms
(* x (- y z))
48.0ms
(/ (* x (- y z)) (- t z))

series144.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* x (- y z))
96.0ms
(/ (* x (- y z)) (- t z))

simplify1.1s

Counts
83 → 83
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01571123
1347936
21005772
done5000748

prune197.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.3b
(* x (/ (- y z) (- t z)))

rewrite110.0ms

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:
44.0ms
(/ (- y z) (- t z))
55.0ms
(* x (/ (- y z) (- t z)))

series192.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(/ (- y z) (- t z))
115.0ms
(* x (/ (- y z) (- t z)))

simplify1.9s

Counts
112 → 112
Iterations

Useful iterations: 2 (210.0ms)

IterNodesCost
01421355
13521282
29701200
329051200
done50001200

prune394.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.4b
(/ 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:
27.0ms
(/ (- t z) (- y z))
45.0ms
(/ x (/ (- t z) (- y z)))

series323.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ (- t z) (- y z))
247.0ms
(/ x (/ (- t z) (- y z)))

simplify1.4s

Counts
204 → 204
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune556.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y z))
0.5b
(/ 1 (/ (- t z) (* x (- y z))))
9.9b
(/ (- t z) (* x (- y z)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
55×add-sqr-sqrt
53×*-un-lft-identity
39×add-cube-cbrt
31×add-exp-log
19×add-cbrt-cube
18×prod-diff
14×div-exp
12×associate-*r/ associate-/r*
11×distribute-rgt-in distribute-lft-in associate-/r/
8×associate-/l*
7×cbrt-undiv flip3-- flip-- distribute-lft-out-- difference-of-squares
6×pow1 div-inv
5×associate-*r* prod-exp
3×expm1-log1p-u rec-exp 1-exp associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down *-commutative inv-pow unswap-sqr
Counts
3 → 152
Calls
3 calls:
28.0ms
(* x (- y z))
58.0ms
(/ 1 (/ (- t z) (* x (- y z))))
40.0ms
(/ (- t z) (* x (- y z)))

series412.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* x (- y z))
261.0ms
(/ 1 (/ (- t z) (* x (- y z))))
91.0ms
(/ (- t z) (* x (- y z)))

simplify1.3s

Counts
161 → 161
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02502455
15422095
214611789
done50001719

prune343.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes138.0ms

Accuracy

-9.9% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.2b

bsearch78.0ms

Steps
ItersRangePoint
8
-3.1096249374089575e-267
-1.96377060048703e-271
-5.983766438752315e-268
6
-11.923248480236845
-0.7718806003288846
-9.20993013941871

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01837
12527
done2527

end0.0ms

sample990.0ms

Algorithm
intervals
Results
428.0ms8711×body80valid