Details

Time bar (total: 37.4s)

sample49.0ms

Algorithm
intervals
Results
21.0ms353×body80valid

simplify9.7s

Counts
1 → 1
Iterations
IterNodes
done5000
113001
101213
9536
8314
7199
6167
5132
4100
361
233
115
08

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.9b
(* (/ x y) (- z t))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 sub-neg add-log-exp
expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
44.0ms
(+ (* (/ x y) (- z t)) t)
81.0ms
(* (/ x y) (- z t))

series259.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(+ (* (/ x y) (- z t)) t)
163.0ms
(* (/ x y) (- z t))

simplify4.1s

Counts
104 → 104
Iterations
IterNodes
done5001
21573
1491
0178

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- z t) (/ y x)) t)
8.4b
(/ (- z t) (/ y x))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
163×*-un-lft-identity
161×add-sqr-sqrt
107×add-cube-cbrt
70×fma-def
27×distribute-lft-out-- difference-of-squares
13×associate-/r* div-inv
add-exp-log add-cbrt-cube
associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
177.0ms
(+ (/ (- z t) (/ y x)) t)
38.0ms
(/ (- z t) (/ y x))

series184.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(+ (/ (- z t) (/ y x)) t)
112.0ms
(/ (- z t) (/ y x))

simplify4.0s

Counts
194 → 194
Iterations
IterNodes
done5000
22084
1665
0221

prune2.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x (- z t)) y) t)
0.0b
(* x (- z t))
4.5b
(/ (* x (- z t)) y)

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
fma-def
times-frac
pow1 associate-*r* add-log-exp
associate-*r/
expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u
cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 92
Calls
3 calls:
138.0ms
(+ (/ (* x (- z t)) y) t)
58.0ms
(* x (- z t))
54.0ms
(/ (* x (- z t)) y)

series679.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ (/ (* x (- z t)) y) t)
70.0ms
(* x (- z t))
532.0ms
(/ (* x (- z t)) y)

simplify2.7s

Counts
101 → 101
Iterations
IterNodes
done5001
21163
1423
0167

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize89.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x (/ y (- z t))) t)
0.0b
(/ y (- z t))
6.1b
(/ x (/ y (- z t)))

rewrite484.0ms

Algorithm
rewrite-expression-head
Rules
246×times-frac
172×*-un-lft-identity
170×add-sqr-sqrt
120×add-cube-cbrt
68×fma-def
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
10×add-exp-log add-cbrt-cube div-inv
flip3-- flip--
associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1 expm1-log1p-u log1p-expm1-u
frac-2neg clear-num
+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 225
Calls
3 calls:
292.0ms
(+ (/ x (/ y (- z t))) t)
23.0ms
(/ y (- z t))
65.0ms
(/ x (/ y (- z t)))

series217.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ (/ x (/ y (- z t))) t)
51.0ms
(/ y (- z t))
98.0ms
(/ x (/ y (- z t)))

simplify4.0s

Counts
234 → 234
Iterations
IterNodes
done5001
22246
1629
0248

prune2.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes519.0ms

Accuracy

-13.3% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.1b

bsearch213.0ms

Steps
ItersRangePoint
9
1.0644710505839534e-200
3.470750462299275e-193
9.442112243134707e-197
8
-5.481601181359034e-46
-1.0429574943472666e-48
-3.9493795475196343e-47

simplify5.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample2.2s

Algorithm
intervals
Results
878.0ms10630×body80valid