Details

Time bar (total: 21.1s)

sample34.0ms

Algorithm
intervals
Results
16.0ms352×body80valid

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
done5000
214686
204333
193984
183625
173276
162923
152561
141997
131448
121088
11777
10527
9358
8284
7211
6171
5129
482
344
224
115
09

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

2.7b
(fma (- z t) (/ y a) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- z t) (/ y a) x)

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(fma (- z t) (/ y a) x)

simplify1.7s

Counts
13 → 13
Iterations
IterNodes
done5005
41433
3253
285
141
024

prune87.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (- z t) (/ y a)) x)
6.5b
(* (- z t) (/ y a))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*l*
4×pow1 add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp cbrt-unprod log1p-expm1-u flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
25.0ms
(+ (* (- z t) (/ y a)) x)
49.0ms
(* (- z t) (/ y a))

series564.0ms

Counts
2 → 6
Calls
2 calls:
483.0ms
(+ (* (- z t) (/ y a)) x)
81.0ms
(* (- z t) (/ y a))

simplify3.3s

Counts
60 → 60
Iterations
IterNodes
done5000
34755
21091
1326
0122

prune402.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt a)
310.0ms
(cbrt y)
272.0ms
(cbrt y)
275.0ms
(cbrt y)

simplify1.6s

Counts
64 → 64
Iterations
IterNodes
done5059
52468
4862
3356
2174
179
046

prune530.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.4b
(* (/ (/ (- z t) (cbrt a)) (cbrt a)) (/ y (cbrt a)))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
446×times-frac
349×add-sqr-sqrt
263×*-un-lft-identity
232×cbrt-prod
208×associate-*l*
191×add-cube-cbrt
36×distribute-lft-out-- difference-of-squares
25×add-exp-log
22×associate-*r*
21×unswap-sqr
16×add-cbrt-cube
9×cbrt-undiv div-exp
8×div-inv
6×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 316
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
168.0ms
(* (/ (/ (- z t) (cbrt a)) (cbrt a)) (/ y (cbrt a)))

series1.0s

Counts
4 → 12
Calls
4 calls:
277.0ms
(cbrt a)
328.0ms
(cbrt a)
309.0ms
(cbrt a)
89.0ms
(* (/ (/ (- z t) (cbrt a)) (cbrt a)) (/ y (cbrt a)))

simplify2.2s

Counts
328 → 328
Iterations
IterNodes
done5005
24302
11117
0330

prune2.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes558.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
013

end0.0ms

sample1.2s

Algorithm
intervals
Results
578.0ms10656×body80valid