Details

Time bar (total: 11.7s)

sample25.0ms

Algorithm
intervals
Results
9.0ms299×body80valid

simplify1.1s

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:

2.4b
(fma (- x) (/ z y) 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 (- x) (/ z y) x)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(fma (- x) (/ z y) x)

simplify861.0ms

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

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (- x) (/ z y)) x)
5.2b
(* (- x) (/ z y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity add-cube-cbrt
10×times-frac associate-*l*
7×add-cbrt-cube add-exp-log
4×pow1 add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×distribute-lft-neg-out cbrt-undiv +-commutative neg-mul-1 sum-log fma-def flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv
Counts
2 → 56
Calls
2 calls:
9.0ms
(+ (* (- x) (/ z y)) x)
16.0ms
(* (- x) (/ z y))

series77.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ (* (- x) (/ z y)) x)
32.0ms
(* (- x) (/ z y))

simplify1.5s

Counts
62 → 62
Iterations
IterNodes
done5001
21751
1314
0107

prune328.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.7b
(* (* (* (cbrt z) (cbrt z)) (- x)) (/ (cbrt z) y))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×distribute-lft-neg-out associate-*l* associate-*r/ *-commutative distribute-rgt-neg-out div-inv
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
115.0ms
(* (* (* (cbrt z) (cbrt z)) (- x)) (/ (cbrt z) y))

series900.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt z)
263.0ms
(cbrt z)
304.0ms
(cbrt z)
65.0ms
(* (* (* (cbrt z) (cbrt z)) (- x)) (/ (cbrt z) y))

simplify2.5s

Counts
101 → 101
Iterations
IterNodes
done5001
23291
1413
0128

prune574.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- x) (/ y z)) x)
5.2b
(/ (- x) (/ y z))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
233×*-un-lft-identity
231×add-sqr-sqrt add-cube-cbrt
135×fma-def
81×distribute-lft-neg-in distribute-rgt-neg-in
27×neg-mul-1
23×div-inv
13×associate-/r*
10×associate-/l*
7×add-cbrt-cube add-exp-log
4×add-log-exp
3×cbrt-undiv div-exp
2×neg-sub0 expm1-log1p-u pow1 div-sub associate-/r/ log1p-expm1-u
1×+-commutative clear-num sum-log frac-2neg flip3-+ distribute-frac-neg associate-+l- flip-+ distribute-lft-out
Counts
2 → 322
Calls
2 calls:
101.0ms
(+ (/ (- x) (/ y z)) x)
20.0ms
(/ (- x) (/ y z))

series90.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (/ (- x) (/ y z)) x)
37.0ms
(/ (- x) (/ y z))

simplify499.0ms

Counts
328 → 328
Iterations
IterNodes
done5001
11006
0327

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done25
425
324
221
117
013

end0.0ms

sample911.0ms

Algorithm
intervals
Results
413.0ms9506×body80valid