Details

Time bar (total: 11.9s)

sample45.0ms

Algorithm
intervals
Results
21.0ms436×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 6 (2.5s)

IterNodesCost
01819
13819
210019
330618
482918
5181018
6408716
done500116

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize13.0ms

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) (* a (* 4.0 t)))
3.2b
(/ (fma x (* 9.0 y) b) z)
8.3b
(/ (- (/ (fma x (* 9.0 y) b) z) (* a (* 4.0 t))) c)

rewrite49.0ms

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)
16.0ms
(- (/ (fma x (* 9.0 y) b) z) (* a (* 4.0 t)))
2.0ms
(/ (fma x (* 9.0 y) b) z)
26.0ms
(/ (- (/ (fma x (* 9.0 y) b) z) (* a (* 4.0 t))) c)

series409.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(fma x (* 9.0 y) b)
162.0ms
(- (/ (fma x (* 9.0 y) b) z) (* a (* 4.0 t)))
63.0ms
(/ (fma x (* 9.0 y) b) z)
151.0ms
(/ (- (/ (fma x (* 9.0 y) b) z) (* a (* 4.0 t))) c)

simplify887.0ms

Counts
123 → 123
Iterations

Useful iterations: done (883.0ms)

IterNodesCost
01702305
13822246
211852063
done50001986

prune485.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.5b
(/ (* t a) c)
5.4b
(/ b (* z c))
10.5b
(/ (* 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
(/ (* t a) 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)))
20.0ms
(/ (* t a) c)
21.0ms
(/ b (* z c))
31.0ms
(/ (* x y) (* z c))

simplify821.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
0148914
1350893
21551735
done5000735

prune332.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

3.5b
(/ (* t a) c)
5.4b
(/ b (* z c))
5.8b
(* c (/ z y))
6.5b
(/ x (* c (/ z y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×cbrt-undiv div-exp
7×associate-/l*
6×pow1 prod-exp cbrt-unprod
5×associate-/r*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
4 → 106
Calls
4 calls:
3.0ms
(/ (* t a) c)
3.0ms
(/ b (* z c))
7.0ms
(* c (/ z y))
5.0ms
(/ x (* c (/ z y)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* t a) c)
21.0ms
(/ b (* z c))
19.0ms
(* c (/ z y))
36.0ms
(/ x (* c (/ z y)))

simplify764.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (185.0ms)

IterNodesCost
0194984
1456951
21567805
done5000805

prune468.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.5b
(/ (* t a) c)
5.3b
(/ (* z c) b)
5.8b
(* c (/ z y))
6.5b
(/ x (* c (/ z y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×cbrt-undiv div-exp
7×associate-/r*
6×pow1 prod-exp cbrt-unprod
5×associate-/l*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
4 → 106
Calls
4 calls:
3.0ms
(/ (* t a) c)
3.0ms
(/ (* z c) b)
7.0ms
(* c (/ z y))
5.0ms
(/ x (* c (/ z y)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* t a) c)
21.0ms
(/ (* z c) b)
22.0ms
(* c (/ z y))
32.0ms
(/ x (* c (/ z y)))

simplify756.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (200.0ms)

IterNodesCost
0195985
1462948
21634802
done5001802

prune423.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes883.0ms

Accuracy

58.4% (4.9b remaining)

Error of 5.1b against oracle of 0.1b and baseline of 12.0b

bsearch3.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
061194
182194
done82194

end0.0ms

sample1.1s

Algorithm
intervals
Results
617.0ms12800×body80valid