Details

Time bar (total: 23.8s)

sample37.0ms

Algorithm
intervals
Results
10.0ms239×body80valid
3.0ms18×body640valid
2.0ms10×body1280valid
2.0ms15×body320valid
1.0ms7×body160valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (16.0ms)

IterNodesCost
01113
12013
24513
311612
432612
5101412
6406112
done500012

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.9b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.7b
(fma (/ (- y z) (- a z)) (- t x) x)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
63.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

series314.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ (- y z) (- a z))
232.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.6s

Counts
70 → 70
Iterations

Useful iterations: 3 (896.0ms)

IterNodesCost
0116918
1271890
2855840
34496834
done5000834

prune315.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.1b
(+ (* (/ (- y z) (- a z)) (- t x)) x)
2.5b
(* (/ (- y z) (- a z)) (- t x))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×add-cube-cbrt times-frac
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 170
Calls
3 calls:
51.0ms
(/ (- y z) (- a z))
63.0ms
(+ (* (/ (- y z) (- a z)) (- t x)) x)
103.0ms
(* (/ (- y z) (- a z)) (- t x))

series930.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ (- y z) (- a z))
302.0ms
(+ (* (/ (- y z) (- a z)) (- t x)) x)
543.0ms
(* (/ (- y z) (- a z)) (- t x))

simplify2.0s

Counts
179 → 179
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02553085
17162731
232232500
done50002468

prune642.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y z) (- a z))
0.0b
(/ (- y z) (- a z))
2.2b
(* (/ (- y z) (- a z)) t)
3.4b
(fma (/ (- y z) (- a z)) (- x) x)

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
113×add-sqr-sqrt
108×*-un-lft-identity
76×times-frac
40×add-cube-cbrt
34×distribute-lft-out-- difference-of-squares
31×associate-*l*
13×add-exp-log add-cbrt-cube
10×associate-/r* associate-/l*
6×pow1 associate-/r/
5×flip3-- flip--
4×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
3×cbrt-undiv div-exp associate-*r* div-inv
2×frac-2neg div-sub prod-exp clear-num cbrt-unprod unswap-sqr
1×pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 170
Calls
4 calls:
28.0ms
(/ (- y z) (- a z))
36.0ms
(/ (- y z) (- a z))
75.0ms
(* (/ (- y z) (- a z)) t)
0.0ms
(fma (/ (- y z) (- a z)) (- x) x)

series532.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(/ (- y z) (- a z))
100.0ms
(/ (- y z) (- a z))
175.0ms
(* (/ (- y z) (- a z)) t)
175.0ms
(fma (/ (- y z) (- a z)) (- x) x)

simplify1.1s

Counts
182 → 182
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01622228
14062164
215632038
done50002030

prune844.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y z) (- a z))
0.2b
(* (- y z) (/ 1 (- a z)))
2.2b
(* (* (- y z) (/ 1 (- a z))) t)
3.4b
(fma (/ (- y z) (- a z)) (- x) x)

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
60×*-un-lft-identity
42×times-frac
30×add-exp-log
27×add-cube-cbrt
24×associate-*r*
20×add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
13×prod-exp
11×pow1
10×associate-*l/
7×flip3-- flip-- cbrt-unprod
6×associate-*l*
5×div-exp associate-/r* associate-/l*
4×expm1-log1p-u frac-times pow-prod-down associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv unswap-sqr
2×rec-exp 1-exp associate-*r/ un-div-inv *-commutative div-inv associate-/l/
1×frac-2neg div-sub clear-num fma-udef
Counts
4 → 146
Calls
4 calls:
53.0ms
(/ (- y z) (- a z))
100.0ms
(* (- y z) (/ 1 (- a z)))
139.0ms
(* (* (- y z) (/ 1 (- a z))) t)
1.0ms
(fma (/ (- y z) (- a z)) (- x) x)

series523.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(/ (- y z) (- a z))
77.0ms
(* (- y z) (/ 1 (- a z)))
190.0ms
(* (* (- y z) (/ 1 (- a z))) t)
174.0ms
(fma (/ (- y z) (- a z)) (- x) x)

simplify6.8s

Counts
158 → 158
Iterations

Useful iterations: 2 (950.0ms)

IterNodesCost
02202001
15691860
242831584
done50001584

prune690.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.0b

regimes534.0ms

Accuracy

-4.3% (4.4b remaining)

Error of 7.7b against oracle of 3.2b and baseline of 7.5b

bsearch139.0ms

Steps
ItersRangePoint
6
3.1039376865066546e-160
3.9728492449928057e-159
3.6725519230246176e-160
8
-1.743473553062761e-97
-2.4373357034560896e-100
-6.570143500236297e-99

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02665
13643
done3643

end0.0ms

sample2.0s

Algorithm
intervals
Results
690.0ms7737×body80valid
473.0ms428×body320valid
98.0ms466×body640valid
67.0ms267×body1280valid
28.0ms270×body160valid
3.0ms12×body2560valid