Details

Time bar (total: 6.5s)

sample76.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
19.0ms282×body80nan

simplify454.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (100.0ms)

IterNodesCost
02833
15033
210732
334732
4139931
done500031

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (* t 3.0))
0.2b
(* z (sqrt (+ t a)))
1.6b
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
5.8b
(/ (* z (sqrt (+ t a))) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
7×associate-*r*
6×pow1 times-frac
5×sqrt-prod
4×cbrt-undiv expm1-log1p-u sqrt-div associate-*r/ div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×associate-*l* prod-exp cbrt-unprod
2×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l/ unswap-sqr
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 85
Calls
4 calls:
3.0ms
(/ 2.0 (* t 3.0))
11.0ms
(* z (sqrt (+ t a)))
0.0ms
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series338.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
63.0ms
(* z (sqrt (+ t a)))
178.0ms
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
80.0ms
(/ (* z (sqrt (+ t a))) t)

simplify540.0ms

Counts
97 → 97
Iterations

Useful iterations: done (538.0ms)

IterNodesCost
02201199
15291129
21867993
done5000987

prune479.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.6b
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
2.0b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×times-frac
47×*-un-lft-identity
46×associate-*r*
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
25×add-exp-log
18×add-cbrt-cube
10×unswap-sqr
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
0.0ms
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
37.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series685.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt t)
176.0ms
(cbrt t)
211.0ms
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
106.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify936.0ms

Counts
137 → 137
Iterations

Useful iterations: done (932.0ms)

IterNodesCost
02452460
16992331
229271806
done50001799

prune704.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* c (+ a 0.8333333333333334))
1.5b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in expm1-log1p-u distribute-lft-in associate-*r/ associate--l+ log1p-expm1-u
1×sub-neg flip3-- flip3-+ fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
9.0ms
(* c (+ a 0.8333333333333334))
6.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

series70.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* c (+ a 0.8333333333333334))
35.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

simplify932.0ms

Counts
49 → 49
Iterations

Useful iterations: done (929.0ms)

IterNodesCost
080482
1230446
2684417
32296399
done5000398

prune166.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
0.0b
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
0.2b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
1.1b
(- (/ b t) (/ c t))

rewrite416.0ms

Algorithm
rewrite-expression-head
Rules
1667×times-frac
1320×add-sqr-sqrt
1310×*-un-lft-identity
1294×add-cube-cbrt
1185×prod-diff
684×associate--l+
513×distribute-rgt-in distribute-lft-in
345×unpow-prod-up
187×div-inv
14×fma-neg
12×associate-*r*
9×sub-neg
8×distribute-lft-out-- add-log-exp difference-of-squares
7×pow1
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u pow-pow associate-*r/ log1p-expm1-u
3×unpow-prod-down pow-unpow exp-prod flip3-- associate-*l* flip--
2×distribute-rgt-out-- diff-log frac-sub sub-div
1×pow-to-exp pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod pow-sub unswap-sqr sqr-pow
Counts
4 → 1308
Calls
4 calls:
67.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
83.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
84.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
26.0ms
(- (/ b t) (/ c t))

series191.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
82.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
46.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
21.0ms
(- (/ b t) (/ c t))

simplify345.0ms

Iterations

Useful iterations: 0 (117.0ms)

IterNodesCost
0120155140