Details

Time bar (total: 40.2s)

sample62.0ms

Algorithm
intervals
Results
16.0ms280×body80valid

simplify8.4s

Counts
1 → 1
Iterations
IterNodes
done5000
124671
114236
103677
92929
82247
71290
6565
5305
4154
363
228
114
08

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.3b
(/ x (* (- y z) (- t z)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*l/ associate-*r/
3×times-frac associate-/l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod insert-posit16 distribute-lft-out-- add-log-exp difference-of-squares
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative div-inv unswap-sqr
Counts
2 → 65
Calls
2 calls:
83.0ms
(* (- y z) (- t z))
35.0ms
(/ x (* (- y z) (- t z)))

series338.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (- y z) (- t z))
256.0ms
(/ x (* (- y z) (- t z)))

simplify2.5s

Counts
71 → 71
Iterations
IterNodes
done5001
21195
1314
0126

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×associate-/r/ insert-posit16 add-log-exp
3×pow1/3
2×flip3-- div-inv flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 114
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
139.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
328.0ms
(cbrt x)
340.0ms
(cbrt x)
353.0ms
(cbrt x)
290.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify4.4s

Counts
126 → 126
Iterations
IterNodes
done5000
22277
1570
0182

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.0b
(/ x (- y z))
2.3b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- cbrt-unprod div-inv flip--
3×rec-exp 1-exp insert-posit16 add-log-exp
2×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 154
Calls
3 calls:
24.0ms
(/ 1 (- t z))
26.0ms
(/ x (- y z))
117.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series376.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ 1 (- t z))
65.0ms
(/ x (- y z))
244.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify6.5s

Counts
163 → 163
Iterations
IterNodes
done5004
34407
21820
1554
0201

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize126.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.2b
(* (/ (* (* (cbrt x) (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))) (- y z)) (/ (cbrt (cbrt x)) (- t z)))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
57×cbrt-prod
54×*-un-lft-identity
53×times-frac
51×associate-*r*
36×add-exp-log
34×add-cube-cbrt
24×add-cbrt-cube
14×prod-exp cbrt-unprod
11×associate-*l*
10×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1
4×associate-/r/ insert-posit16 add-log-exp unswap-sqr
3×pow1/3
2×flip3-- div-inv flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 131
Calls
4 calls:
3.0ms
(cbrt x)
3.0ms
(cbrt x)
3.0ms
(cbrt x)
249.0ms
(* (/ (* (* (cbrt x) (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))) (- y z)) (/ (cbrt (cbrt x)) (- t z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
316.0ms
(cbrt x)
298.0ms
(cbrt x)
293.0ms
(cbrt x)
348.0ms
(* (/ (* (* (cbrt x) (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))) (- y z)) (/ (cbrt (cbrt x)) (- t z)))

simplify5.5s

Counts
143 → 143
Iterations
IterNodes
done5001
23059
1721
0229

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.4s

Accuracy

60.5% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.4b

bsearch3.0ms

simplify14.0ms

Iterations
IterNodes
done24
124
020

end0.0ms

sample924.0ms

Algorithm
intervals
Results
391.0ms8454×body80valid