Details

Time bar (total: 7.3s)

sample29.0ms

Algorithm
intervals
Results
13.0ms277×body80valid

simplify140.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
089
1149
2299
3559
4839
51099
61349
71469
81569
done1569

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.0b
(/ (* x (- y z)) (- t z))

rewrite29.0ms

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:
12.0ms
(* x (- y z))
14.0ms
(/ (* x (- y z)) (- t z))

series97.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (- y z))
63.0ms
(/ (* x (- y z)) (- t z))

simplify880.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
01571123
1343936
21338754
done5000754

prune146.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.4b
(* x (/ (- y z) (- t z)))

rewrite44.0ms

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:
13.0ms
(/ (- y z) (- t z))
26.0ms
(* x (/ (- y z) (- t z)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- y z) (- t z))
66.0ms
(* x (/ (- y z) (- t z)))

simplify1.8s

Counts
112 → 112
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01421355
13571282
211371200
343821200
done50011198

prune230.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.8b
(/ x (/ (- t z) (- y z)))

rewrite42.0ms

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:
13.0ms
(/ (- t z) (- y z))
17.0ms
(/ x (/ (- t z) (- y z)))

series202.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- t z) (- y z))
154.0ms
(/ x (/ (- t z) (- y z)))

simplify1.0s

Counts
204 → 204
Iterations

Useful iterations: 2 (271.0ms)

IterNodesCost
02743524
16433300
224413198
done50003198

prune440.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* (- t z) (/ 1 (- y z)))
1.8b
(/ x (* (- t z) (/ 1 (- y z))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv flip3-- associate-/r* flip-- associate-/l*
5×associate-*l*
4×frac-times associate-*l/ cbrt-unprod
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 128
Calls
3 calls:
6.0ms
(/ 1 (- y z))
26.0ms
(* (- t z) (/ 1 (- y z)))
10.0ms
(/ x (* (- t z) (/ 1 (- y z))))

series237.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- y z))
50.0ms
(* (- t z) (/ 1 (- y z)))
151.0ms
(/ x (* (- t z) (/ 1 (- y z))))

simplify963.0ms

Counts
137 → 137
Iterations

Useful iterations: done (960.0ms)

IterNodesCost
01771575
14171293
213471127
done50021125

prune237.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes102.0ms

Accuracy

-13.7% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.1b

bsearch71.0ms

Steps
ItersRangePoint
9
2.0192718685294438e-110
1.8286677674475294e-105
5.4381737647266115e-107
8
-1.2756224717457362e-221
-2.7568303420153477e-224
-9.512737302380148e-222

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01837
12627
done2627

end0.0ms

sample469.0ms

Algorithm
intervals
Results
253.0ms8720×body80valid