Details

Time bar (total: 13.0s)

sample46.0ms

Algorithm
intervals
Results
21.0ms423×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 6 (794.0ms)

IterNodesCost
01819
13819
210019
330818
485918
5186018
6476016
done500016

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* x 9.0) y b)
0.2b
(- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a)))
2.0b
(/ (fma (* x 9.0) y b) z)
10.6b
(/ (- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a))) c)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×fma-neg prod-diff
8×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u div-inv
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- associate-/l/
1×sub-neg diff-log div-sub fma-udef
Counts
4 → 111
Calls
4 calls:
0.0ms
(fma (* x 9.0) y b)
14.0ms
(- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a)))
2.0ms
(/ (fma (* x 9.0) y b) z)
27.0ms
(/ (- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a))) c)

series447.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma (* x 9.0) y b)
176.0ms
(- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a)))
69.0ms
(/ (fma (* x 9.0) y b) z)
163.0ms
(/ (- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a))) c)

simplify562.0ms

Counts
123 → 123
Iterations

Useful iterations: done (558.0ms)

IterNodesCost
01702305
13912243
213692061
done50002053

prune531.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.6b
(/ (* a t) c)
4.4b
(/ b (* z c))
11.2b
(/ (* x y) (* z c))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
7×times-frac
6×prod-exp cbrt-unprod
5×associate-/r* associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num div-inv
1×fma-udef
Counts
4 → 79
Calls
4 calls:
0.0ms
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.0ms
(/ (* a t) c)
3.0ms
(/ b (* z c))
4.0ms
(/ (* x y) (* z c))

series158.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
19.0ms
(/ (* a t) c)
22.0ms
(/ b (* z c))
32.0ms
(/ (* x y) (* z c))

simplify522.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
0148914
1357893
21661735
done5001735

prune340.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
3.5b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.4b
(/ b (* z c))
11.2b
(/ (* x y) (* z c))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
38×add-sqr-sqrt
35×add-cbrt-cube
32×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r*
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
2×frac-2neg clear-num associate-/r*
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 120
Calls
4 calls:
1.0ms
(cbrt c)
27.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
3.0ms
(/ b (* z c))
5.0ms
(/ (* x y) (* z c))

series296.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt c)
56.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
23.0ms
(/ b (* z c))
34.0ms
(/ (* x y) (* z c))

simplify1.0s

Counts
132 → 132
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02291597
16501544
231371152
done50011146

prune595.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
3.5b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.4b
(/ b (* z c))
9.8b
(* (/ x z) (/ y c))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
53×times-frac
42×add-exp-log
36×add-cube-cbrt *-un-lft-identity
35×associate-*r* add-cbrt-cube
20×associate-*l*
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
10×unswap-sqr
8×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
1×frac-2neg pow1/3 clear-num associate-/r*
Counts
4 → 149
Calls
4 calls:
1.0ms
(cbrt c)
27.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
3.0ms
(/ b (* z c))
14.0ms
(* (/ x z) (/ y c))

series299.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt c)
55.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
22.0ms
(/ b (* z c))
33.0ms
(* (/ x z) (/ y c))

simplify1.3s

Counts
161 → 161
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02871893
18341826
236681426
done50001422

prune713.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

regimes773.0ms

Accuracy

16.2% (8.9b remaining)

Error of 8.9b against oracle of 0.1b and baseline of 10.6b

bsearch553.0ms

Steps
ItersRangePoint
7
3.808166626740826e+250
1.0899829396851246e+252
1.0377923821138271e+252
7
3.903267781804736e+188
2.7308824449140774e+190
1.3341653186151825e+189
10
6.544429828530545e-236
9.692379207287268e-217
7.2321727432478166e-217
10
-5.006152907050314e-125
-3.109791203973043e-135
-2.556395595741071e-125
8
-6.2199327381153015e+72
-3.153907518496803e+68
-8.378565976286501e+68
6
-3.592508778215994e+199
-6.701699336016384e+198
-3.3333402515611237e+199

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
060198
177170
done77170

end0.0ms

sample1.2s

Algorithm
intervals
Results
646.0ms12748×body80valid