Details

Time bar (total: 17.5s)

sample62.0ms

Algorithm
intervals
Results
42.0ms321×body80valid

simplify147.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize21.0ms

Local error

Found 3 expressions with local error:

2.8b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 120
Calls
3 calls:
Slowest
56.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
18.0ms
(/ (+ x 4) y)
17.0ms
(* (/ x y) z)

series153.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
76.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
44.0ms
(/ (+ x 4) y)
34.0ms
(* (/ x y) z)

simplify1.5s

Counts
129 → 129

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

2.8b
(* (/ x y) z)
0.0b
(- (/ (+ 4 x) y) (* (/ x y) z))
0.0b
(/ (+ 4 x) y)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 120
Calls
3 calls:
Slowest
80.0ms
(- (/ (+ 4 x) y) (* (/ x y) z))
26.0ms
(/ (+ 4 x) y)
15.0ms
(* (/ x y) z)

series157.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
80.0ms
(- (/ (+ 4 x) y) (* (/ x y) z))
51.0ms
(/ (+ 4 x) y)
26.0ms
(* (/ x y) z)

simplify1.8s

Counts
129 → 129

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (/ x y) (* (cbrt z) (cbrt z)))
1.1b
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
21×add-cbrt-cube
18×add-sqr-sqrt pow1
17×prod-exp cbrt-unprod
15×*-un-lft-identity add-cube-cbrt
14×associate-*l*
10×times-frac
9×cbrt-prod pow-prod-down
7×associate-*r*
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 98
Calls
4 calls:
Slowest
133.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
57.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series851.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
324.0ms
(cbrt z)
282.0ms
(cbrt z)
163.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))
82.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))

simplify2.3s

Counts
110 → 110

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (/ x y) (* (cbrt z) (cbrt z)))
0.8b
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z))))
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (cbrt z))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
21×add-cbrt-cube
18×pow1
17×add-sqr-sqrt prod-exp cbrt-unprod
14×*-un-lft-identity associate-*l* add-cube-cbrt
11×cbrt-prod
10×times-frac
9×pow-prod-down
5×associate-*r*
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 97
Calls
4 calls:
Slowest
103.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z))))
25.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))
4.0ms
(cbrt (* (cbrt z) (cbrt z)))
1.0ms
(cbrt (cbrt z))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
430.0ms
(cbrt (* (cbrt z) (cbrt z)))
327.0ms
(cbrt (cbrt z))
279.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z))))
137.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

simplify1.7s

Counts
109 → 109

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

89.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch150.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
947.0ms10092×body80valid