Details

Time bar (total: 12.9s)

sample36.0ms

Algorithm
intervals
Results
18.0ms273×body80valid

simplify704.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- z a)))
0.0b
(* y (- z t))
10.4b
(/ (* y (- z t)) (- z a))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-/r* add-log-exp
4×associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 67
Calls
3 calls:
44.0ms
(+ x (/ (* y (- z t)) (- z a)))
30.0ms
(* y (- z t))
32.0ms
(/ (* y (- z t)) (- z a))

series260.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ x (/ (* y (- z t)) (- z a)))
57.0ms
(* y (- z t))
103.0ms
(/ (* y (- z t)) (- z a))

simplify601.0ms

Counts
76 → 76

prune245.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ (- z a) (- z t))))
0.0b
(/ (- z a) (- z t))
1.7b
(/ y (/ (- z a) (- z t)))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
197×*-un-lft-identity
195×add-sqr-sqrt
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 206
Calls
3 calls:
89.0ms
(+ x (/ y (/ (- z a) (- z t))))
34.0ms
(/ (- z a) (- z t))
41.0ms
(/ y (/ (- z a) (- z t)))

series328.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(+ x (/ y (/ (- z a) (- z t))))
62.0ms
(/ (- z a) (- z t))
144.0ms
(/ y (/ (- z a) (- z t)))

simplify1.2s

Counts
215 → 215

prune696.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
0.0b
(/ (- z a) (- z t))
0.2b
(/ 1 (/ (/ (- z a) (- z t)) y))
1.6b
(/ (/ (- z a) (- z t)) y)

rewrite492.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
797×*-un-lft-identity
794×add-sqr-sqrt
450×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
32×add-exp-log
24×div-inv
20×add-cbrt-cube
19×div-exp
18×flip3-- flip--
10×cbrt-undiv
6×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/
2×distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
4 → 624
Calls
4 calls:
215.0ms
(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
42.0ms
(/ (- z a) (- z t))
77.0ms
(/ 1 (/ (/ (- z a) (- z t)) y))
57.0ms
(/ (/ (- z a) (- z t)) y)

series619.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
69.0ms
(/ (- z a) (- z t))
290.0ms
(/ 1 (/ (/ (- z a) (- z t)) y))
129.0ms
(/ (/ (- z a) (- z t)) y)

simplify901.0ms

Counts
636 → 636

prune2.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ (- z t) (- z a)) y))
0.0b
(/ (- z t) (- z a))
1.5b
(* (/ (- z t) (- z a)) y)

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
8.0ms
(+ x (* (/ (- z t) (- z a)) y))
33.0ms
(/ (- z t) (- z a))
91.0ms
(* (/ (- z t) (- z a)) y)

series341.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(+ x (* (/ (- z t) (- z a)) y))
76.0ms
(/ (- z t) (- z a))
153.0ms
(* (/ (- z t) (- z a)) y)

simplify539.0ms

Counts
122 → 122

prune381.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes363.0ms

Accuracy

-783% (10.8b remaining)

Error of 10.8b against oracle of 0.0b and baseline of 1.2b

bsearch109.0ms

Steps
ItersRangePoint
10
1.714068390066364e-110
1.1681715839985076e-100
3.355115332728058e-103
7
-8.63582207798018e-19
-6.5400305815263605e-21
-2.8379621231086494e-19

simplify596.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
568.0ms8719×body80valid
0.0ms2×body320valid
0.0ms1×body160valid