Details

Time bar (total: 21.9s)

sample42.0ms

Algorithm
intervals
Results
21.0ms336×body80valid

simplify6.8s

Counts
1 → 1
Iterations
IterNodes
done5001
112921
101184
9536
8314
7199
6167
5132
4100
361
233
115
08

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
5.8b
(* (/ x y) (- z t))

rewrite39.0ms

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
7×add-cbrt-cube add-exp-log
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 100
Calls
2 calls:
17.0ms
(+ (* (/ x y) (- z t)) t)
21.0ms
(* (/ x y) (- z t))

series143.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (* (/ x y) (- z t)) t)
93.0ms
(* (/ x y) (- z t))

simplify1.8s

Counts
106 → 106
Iterations
IterNodes
done5001
21612
1499
0182

prune502.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- z t) (/ y x)) t)
6.4b
(/ (- z t) (/ y x))

rewrite53.0ms

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
7×add-cbrt-cube add-exp-log
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×expm1-log1p-u pow1 div-sub associate-/r/ insert-posit16 log1p-expm1-u associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip3-- associate-+l- flip-+ flip-- distribute-lft-out
Counts
2 → 190
Calls
2 calls:
33.0ms
(+ (/ (- z t) (/ y x)) t)
14.0ms
(/ (- z t) (/ y x))

series109.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (/ (- z t) (/ y x)) t)
69.0ms
(/ (- z t) (/ y x))

simplify1.5s

Counts
196 → 196
Iterations
IterNodes
done5000
22008
1671
0225

prune926.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.6b
(/ (cbrt (- z t)) (/ y (cbrt x)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
338×times-frac
216×add-sqr-sqrt *-un-lft-identity
205×cbrt-prod
170×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×div-inv
9×add-exp-log
8×associate-/l*
6×add-cbrt-cube
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×cbrt-div associate-/l/
1×clear-num frac-2neg flip3-- associate-/r/ flip--
Counts
4 → 268
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
34.0ms
(/ (cbrt (- z t)) (/ y (cbrt x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
246.0ms
(cbrt x)
294.0ms
(cbrt x)
278.0ms
(cbrt x)
240.0ms
(/ (cbrt (- z t)) (/ y (cbrt x)))

simplify2.2s

Counts
280 → 280
Iterations
IterNodes
done5001
22416
11037
0407

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.4b
(/ (- z t) (/ y (cbrt x)))
3.6b
(fma (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ (- z t) (/ y (cbrt x))) t)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
153×add-sqr-sqrt *-un-lft-identity
107×add-cube-cbrt
60×cbrt-prod
23×distribute-lft-out-- difference-of-squares
22×associate-/r*
9×add-exp-log
8×add-cbrt-cube
7×div-inv
5×associate-/l*
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×pow1/3 associate-/l/
1×clear-num frac-2neg flip3-- div-sub associate-/r/ fma-udef flip--
Counts
4 → 197
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
16.0ms
(/ (- z t) (/ y (cbrt x)))
1.0ms
(fma (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ (- z t) (/ y (cbrt x))) t)

series858.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt x)
271.0ms
(cbrt x)
189.0ms
(/ (- z t) (/ y (cbrt x)))
169.0ms
(fma (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ (- z t) (/ y (cbrt x))) t)

simplify1.8s

Counts
209 → 209
Iterations
IterNodes
done5001
22665
1926
0312

prune1.0s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes364.0ms

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
015

end0.0ms

sample914.0ms

Algorithm
intervals
Results
618.0ms10719×body80valid