Details

Time bar (total: 11.5s)

sample35.0ms

Algorithm
intervals
Results
11.0ms347×body80valid

simplify837.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
61395
5376
4161
369
232
116
09

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

6.9b
(* (/ y a) (- t z))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-cbrt-cube add-exp-log
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg distribute-lft-in flip3-- prod-exp associate-*r/ cbrt-unprod flip-- unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
48.0ms
(* (/ y a) (- t z))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(* (/ y a) (- t z))

simplify694.0ms

Counts
45 → 45
Iterations
IterNodes
done5001
21161
1261
099

prune256.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

6.9b
(* (- t z) (/ y a))
8.0b
(cbrt (* (- t z) (/ y a)))
8.0b
(cbrt (* (- t z) (/ y a)))
8.0b
(cbrt (* (- t z) (/ y a)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×cbrt-div
14×*-un-lft-identity
13×associate-*r*
12×add-cube-cbrt
10×times-frac
9×add-cbrt-cube add-exp-log
8×frac-times flip3-- associate-*l/ flip--
6×pow1
5×associate-*l*
4×associate-*r/ add-log-exp
3×cbrt-prod pow1/3
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 80
Calls
4 calls:
21.0ms
(* (- t z) (/ y a))
7.0ms
(cbrt (* (- t z) (/ y a)))
13.0ms
(cbrt (* (- t z) (/ y a)))
13.0ms
(cbrt (* (- t z) (/ y a)))

series683.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (- t z) (/ y a))
211.0ms
(cbrt (* (- t z) (/ y a)))
188.0ms
(cbrt (* (- t z) (/ y a)))
224.0ms
(cbrt (* (- t z) (/ y a)))

simplify893.0ms

Counts
92 → 92
Iterations
IterNodes
done5002
21765
1387
0161

prune752.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.6b
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- t z)))
2.9b
(* (/ (cbrt y) a) (- t z))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
32×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×frac-times pow1 associate-*r/
10×distribute-rgt-in cbrt-undiv distribute-lft-in
6×sub-neg flip3-- 1-exp associate-*r* flip--
4×pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
70.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- t z)))
36.0ms
(* (/ (cbrt y) a) (- t z))

series1.0s

Counts
4 → 12
Calls
4 calls:
316.0ms
(cbrt y)
339.0ms
(cbrt y)
119.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- t z)))
228.0ms
(* (/ (cbrt y) a) (- t z))

simplify391.0ms

Counts
147 → 147
Iterations
IterNodes
done5000
1744
0224

prune956.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ t (/ a y)) (/ z (/ a y)))
4.0b
(/ z (/ a y))
5.6b
(/ t (/ a y))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
212×times-frac
137×add-sqr-sqrt
129×*-un-lft-identity
101×add-cube-cbrt
26×associate-/r*
14×div-inv distribute-lft-out--
13×add-cbrt-cube add-exp-log
9×difference-of-squares
6×cbrt-undiv div-exp associate-/l*
5×add-log-exp
4×associate-/r/
3×pow1
2×clear-num frac-2neg distribute-rgt-out--
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 179
Calls
3 calls:
145.0ms
(- (/ t (/ a y)) (/ z (/ a y)))
12.0ms
(/ z (/ a y))
10.0ms
(/ t (/ a y))

series143.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(- (/ t (/ a y)) (/ z (/ a y)))
36.0ms
(/ z (/ a y))
24.0ms
(/ t (/ a y))

simplify1.1s

Counts
188 → 188
Iterations
IterNodes
done5000
23412
1782
0299

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes446.0ms

Accuracy

47.4% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.6b

bsearch146.0ms

Steps
ItersRangePoint
10
1.7877794019375144e+99
3.280336048085067e+112
8.154301343153642e+100
8
-4.0529501114613944e+21
-2.2007877450197507e+18
-4.014663754654606e+20

simplify10.0ms

Iterations
IterNodes
done46
246
144
034

end0.0ms

sample1.3s

Algorithm
intervals
Results
540.0ms10647×body80valid