Details

Time bar (total: 13.4s)

sample21.0ms

Algorithm
intervals
Results
8.0ms299×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5001
81908
7651
6240
5102
473
344
222
111
06

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

2.2b
(fma (- x) (/ z y) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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:
1.0ms
(fma (- x) (/ z y) x)

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(fma (- x) (/ z y) x)

simplify1.2s

Counts
13 → 13
Iterations
IterNodes
done5001
41009
3190
262
131
019

prune97.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (fma (- x) (/ z y) x)) (cbrt (fma (- x) (/ z y) x)))
2.2b
(fma (- x) (/ z y) x)
2.2b
(fma (- x) (/ z y) x)
2.2b
(fma (- x) (/ z y) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3 swap-sqr associate-*r* associate-*l* add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
fma-udef
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
18.0ms
(* (cbrt (fma (- x) (/ z y) x)) (cbrt (fma (- x) (/ z y) x)))
0.0ms
(fma (- x) (/ z y) x)
1.0ms
(fma (- x) (/ z y) x)
1.0ms
(fma (- x) (/ z y) x)

series454.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(* (cbrt (fma (- x) (/ z y) x)) (cbrt (fma (- x) (/ z y) x)))
53.0ms
(fma (- x) (/ z y) x)
58.0ms
(fma (- x) (/ z y) x)
74.0ms
(fma (- x) (/ z y) x)

simplify4.3s

Counts
84 → 84
Iterations
IterNodes
done5001
33803
2625
1185
087

prune582.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.6b
(/ (* x (- y z)) y)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
add-cbrt-cube add-exp-log
associate-*r*
pow1 associate-*r/
associate-/r* times-frac associate-*l*
expm1-log1p-u cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod log1p-expm1-u flip-- add-log-exp associate-/l/
clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
34.0ms
(* x (- y z))
30.0ms
(/ (* x (- y z)) y)

series131.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* x (- y z))
74.0ms
(/ (* x (- y z)) y)

simplify840.0ms

Counts
77 → 77
Iterations
IterNodes
done5002
21627
1351
0140

prune239.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.0b
(/ x (/ y (- y z)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
add-cbrt-cube add-exp-log
div-inv associate-/l*
flip3-- flip--
cbrt-undiv div-exp
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
18.0ms
(/ y (- y z))
24.0ms
(/ x (/ y (- y z)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(/ y (- y z))
70.0ms
(/ x (/ y (- y z)))

simplify1.2s

Counts
149 → 149
Iterations
IterNodes
done5000
22812
1565
0222

prune776.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes224.0ms

Accuracy

-1.2% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch33.0ms

Steps
ItersRangePoint
1
1.6971091789122785e-151
1.820055875516875e-151
1.7278458530634274e-151
3
-5.1570355596853615e-201
-3.8052178173245655e-201
-4.565615297402514e-201

simplify5.0ms

Iterations
IterNodes
done22
122
016

end0.0ms

sample1.4s

Algorithm
intervals
Results
484.0ms9582×body80valid