Details

Time bar (total: 19.7s)

sample110.0ms

Algorithm
intervals
Results
33.0ms261×body80valid

simplify329.0ms

Calls
1 calls:
Slowest
329.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize31.0ms

Local error

Found 2 expressions with local error:

14.7b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
12×flip3-+ flip-+
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
7×pow1
4×add-sqr-sqrt *-un-lft-identity associate-*l/ associate-*r/ add-cube-cbrt
3×associate-*r* associate-*l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow-plus pow-prod-down distribute-frac-neg *-commutative pow-prod-up div-inv associate-/l*
Calls
2 calls:
Slowest
21.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
9.0ms
(* (+ t1 u) (+ t1 u))

series78.0ms

Calls
2 calls:
Slowest
63.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
14.0ms
(* (+ t1 u) (+ t1 u))

simplify6.0s

Calls
48 calls:
Slowest
675.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
553.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
476.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))
408.0ms
(* (- (* t1 t1) (* u u)) (+ (pow t1 3) (pow u 3)))
383.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune708.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

1.3b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-*l*
10×add-cbrt-cube add-exp-log
8×associate-/r/
7×neg-mul-1
6×associate-/r* associate-*r*
5×pow1
4×flip3-+ flip-+ div-inv associate-/l*
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp prod-exp distribute-frac-neg cbrt-unprod
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Calls
3 calls:
Slowest
7.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
4.0ms
(/ (- t1) (+ t1 u))
1.0ms
(/ v (+ t1 u))

series126.0ms

Calls
3 calls:
Slowest
80.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
26.0ms
(/ (- t1) (+ t1 u))
20.0ms
(/ v (+ t1 u))

simplify2.5s

Calls
82 calls:
Slowest
381.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
225.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
190.0ms
(+ (log (/ (- t1) (+ t1 u))) (log (/ v (+ t1 u))))
184.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (log (/ v (+ t1 u))))
148.0ms
(/ (- t1) (- (* t1 t1) (* u u)))

prune935.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t1))
0.6b
(cbrt (- t1))
0.6b
(cbrt (- t1))
0.6b
(cbrt (+ t1 u))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×neg-mul-1
2×cbrt-div
1×flip3-+ flip-+
Calls
4 calls:
Slowest
1.0ms
(cbrt (- t1))
1.0ms
(cbrt (- t1))
1.0ms
(cbrt (+ t1 u))
1.0ms
(cbrt (- t1))

series1.0s

Calls
4 calls:
Slowest
319.0ms
(cbrt (- t1))
305.0ms
(cbrt (- t1))
266.0ms
(cbrt (- t1))
152.0ms
(cbrt (+ t1 u))

simplify604.0ms

Calls
29 calls:
Slowest
327.0ms
(- (+ (* 1/3 (* (pow (/ 1 (pow u 2)) 1/3) t1)) (pow u 1/3)) (* 1/9 (* (pow (/ 1 (pow u 5)) 1/3) (pow t1 2))))
75.0ms
(cbrt (- (* t1 t1) (* u u)))
20.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
16.0ms
(cbrt (+ (pow t1 3) (pow u 3)))
16.0ms
(pow (/ 1 t1) -1/3)

prune843.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (/ (- t1) (+ t1 u)) v)
0.3b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ 1 (+ t1 u))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
23×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×associate-*l*
11×add-exp-log
8×add-cbrt-cube associate-/r/
7×pow1 neg-mul-1
6×associate-/r* associate-*r*
4×expm1-log1p-u flip3-+ associate-*l/ flip-+ insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
3×distribute-lft-neg-out distribute-frac-neg
2×rec-exp clear-num frac-2neg prod-exp *-commutative
1×neg-sub0 frac-times cbrt-undiv div-sub div-exp pow-prod-down associate-*r/ un-div-inv cbrt-unprod pow-flip inv-pow
Calls
4 calls:
Slowest
18.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
11.0ms
(* (/ (- t1) (+ t1 u)) v)
4.0ms
(/ (- t1) (+ t1 u))
1.0ms
(/ 1 (+ t1 u))

series182.0ms

Calls
4 calls:
Slowest
77.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
45.0ms
(* (/ (- t1) (+ t1 u)) v)
33.0ms
(/ (- t1) (+ t1 u))
26.0ms
(/ 1 (+ t1 u))

simplify3.3s

Calls
89 calls:
Slowest
482.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
373.0ms
(+ (log (* (/ (- t1) (+ t1 u)) v)) (log (/ 1 (+ t1 u))))
281.0ms
(* (* (/ t1 (+ t1 u)) v) (/ 1 (+ t1 u)))
256.0ms
(* (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))
224.0ms
(+ (log (* (/ (- t1) (+ t1 u)) v)) (- (log (+ t1 u))))

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (1.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
804.0ms8263×body80valid