Details

Time bar (total: 24.6s)

sample52.0ms

Algorithm
intervals
Results
19.0ms274×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5000
103638
91242
8657
7374
6278
5190
4116
361
233
118
010

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.3b
(fma (/ (- z t) (- z a)) y x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
associate-/r* associate-/l*
add-cbrt-cube add-exp-log
expm1-log1p-u pow1 flip3-- associate-/r/ log1p-expm1-u flip-- add-log-exp associate-/l/
cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
36.0ms
(/ (- z t) (- z a))
1.0ms
(fma (/ (- z t) (- z a)) y x)

series201.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(/ (- z t) (- z a))
122.0ms
(fma (/ (- z t) (- z a)) y x)

simplify2.1s

Counts
70 → 70
Iterations
IterNodes
done5000
34799
2831
1266
0113

prune417.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ y (/ (- z a) (- z t))) x)
0.0b
(/ (- z a) (- z t))
1.4b
(/ y (/ (- z a) (- z t)))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
386×times-frac
322×*-un-lft-identity
320×add-sqr-sqrt
156×add-cube-cbrt
98×fma-def
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
18×associate-/r/
10×add-cbrt-cube add-exp-log div-inv
flip3-- flip--
associate-/l*
add-log-exp
cbrt-undiv div-exp
expm1-log1p-u pow1 log1p-expm1-u
clear-num frac-2neg associate-/l/
+-commutative sum-log flip3-+ div-sub flip-+ distribute-lft-out
Counts
3 → 310
Calls
3 calls:
150.0ms
(+ (/ y (/ (- z a) (- z t))) x)
38.0ms
(/ (- z a) (- z t))
29.0ms
(/ y (/ (- z a) (- z t)))

series385.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(+ (/ y (/ (- z a) (- z t))) x)
66.0ms
(/ (- z a) (- z t))
204.0ms
(/ y (/ (- z a) (- z t)))

simplify1.9s

Counts
319 → 319
Iterations
IterNodes
done5001
24067
1817
0298

prune1.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.6b
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (/ (* (cbrt y) (cbrt y)) (cbrt (- z a))) (cbrt (- z a))))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
186×times-frac
124×cbrt-prod
118×associate-*r*
117×add-sqr-sqrt
104×*-un-lft-identity
60×add-cube-cbrt
42×cbrt-div
36×add-exp-log
22×distribute-lft-out-- difference-of-squares
21×flip3-- flip--
18×associate-/r/
16×frac-times
14×add-cbrt-cube prod-exp cbrt-unprod
12×associate-*l/
10×cbrt-undiv div-exp
pow1 div-inv
unswap-sqr
associate-*r/
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3 pow-prod-down
associate-*l* *-commutative
Counts
4 → 210
Calls
4 calls:
2.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
227.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (/ (* (cbrt y) (cbrt y)) (cbrt (- z a))) (cbrt (- z a))))

series1.5s

Counts
4 → 12
Calls
4 calls:
311.0ms
(cbrt y)
297.0ms
(cbrt y)
266.0ms
(cbrt y)
608.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (/ (* (cbrt y) (cbrt y)) (cbrt (- z a))) (cbrt (- z a))))

simplify817.0ms

Counts
222 → 222
Iterations
IterNodes
done5000
11371
0386

prune1.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (/ (/ (- z a) y) (- z t))) x)
0.5b
(/ 1 (/ (/ (- z a) y) (- z t)))
10.1b
(/ (/ (- z a) y) (- z t))

rewrite531.0ms

Algorithm
rewrite-expression-head
Rules
1981×times-frac
1291×*-un-lft-identity
1288×add-sqr-sqrt
736×add-cube-cbrt
308×fma-def
276×distribute-lft-out-- difference-of-squares
106×associate-/r*
52×div-inv
29×add-exp-log
22×associate-/l*
18×div-exp associate-/r/
17×add-cbrt-cube
cbrt-undiv
flip3-- flip--
add-log-exp
pow1
expm1-log1p-u rec-exp 1-exp log1p-expm1-u
clear-num frac-2neg div-sub distribute-lft-out
+-commutative sum-log flip3-+ flip-+ pow-flip inv-pow associate-/l/
Counts
3 → 896
Calls
3 calls:
346.0ms
(+ (/ 1 (/ (/ (- z a) y) (- z t))) x)
57.0ms
(/ 1 (/ (/ (- z a) y) (- z t)))
24.0ms
(/ (/ (- z a) y) (- z t))

series627.0ms

Counts
3 → 9
Calls
3 calls:
199.0ms
(+ (/ 1 (/ (/ (- z a) y) (- z t))) x)
344.0ms
(/ 1 (/ (/ (- z a) y) (- z t)))
84.0ms
(/ (/ (- z a) y) (- z t))

simplify1.6s

Counts
905 → 905
Iterations
IterNodes
done5000
12091
0694

prune4.5s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes504.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done23
123
019

end0.0ms

sample1.2s

Algorithm
intervals
Results
543.0ms8729×body80valid
0.0msbody1280valid
0.0msbody640valid
0.0msbody320valid