Details

Time bar (total: 4.1m)

sample110.0ms

Algorithm
intervals
Results
36.0ms50×body1280valid
27.0ms134×body80valid
23.0ms47×body640valid
4.0ms12×body320valid
3.0ms13×body160valid

simplify177.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
177.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize16.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
74×add-sqr-sqrt
63×times-frac add-cube-cbrt
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
8×add-exp-log
7×add-log-exp
6×flip3-+ flip-+
5×add-cbrt-cube div-inv
4×associate-/r* difference-of-squares
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u associate-/l*
2×expm1-def difference-of-sqr-1 div-exp
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 150
Calls
3 calls:
Slowest
75.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
12.0ms
(/ 2 (+ 1 (exp (* -2 x))))
8.0ms
(+ 1 (exp (* -2 x)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
94.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
28.0ms
(/ 2 (+ 1 (exp (* -2 x))))
12.0ms
(+ 1 (exp (* -2 x)))

simplify23.0s

Counts
185 → 159
Calls
185 calls:
Slowest
528.0ms
(/ 2 (+ (exp (* -2 x)) 1))
521.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
386.0ms
(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
371.0ms
(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
363.0ms
(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

3.7b
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
3.7b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
168×*-un-lft-identity
130×add-sqr-sqrt
108×prod-diff add-cube-cbrt
102×times-frac
59×log-prod
56×exp-sum
26×distribute-lft-out
18×fma-neg
16×associate-/r/
11×log-pow
10×exp-prod
9×flip3-+ add-exp-log flip-+
8×div-inv add-log-exp difference-of-squares
6×add-cbrt-cube
5×pow1
4×expm1-log1p-u associate-/r* difference-of-sqr-1 insert-posit16 log1p-expm1-u
3×fma-def associate-/l*
2×expm1-def sub-neg div-exp distribute-lft-out--
1×cbrt-undiv +-commutative log-div clear-num sum-log frac-2neg flip3-- exp-diff diff-log rem-log-exp flip--
Counts
4 → 232
Calls
4 calls:
Slowest
163.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
75.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
22.0ms
(/ 2 (+ 1 (exp (* -2 x))))
11.0ms
(+ 1 (exp (* -2 x)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
89.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
75.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
23.0ms
(/ 2 (+ 1 (exp (* -2 x))))
19.0ms
(+ 1 (exp (* -2 x)))

simplify42.8s

Counts
259 → 244
Calls
259 calls:
Slowest
699.0ms
(fma (/ 1 (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ 2 (cbrt (+ 1 (exp (* -2 x))))) (- (* 1 1)))
524.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
505.0ms
(log (exp (fma (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ (cbrt 2) (cbrt (+ 1 (exp (* -2 x))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))))
493.0ms
(log (exp (fma (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ (cbrt 2) (cbrt (+ 1 (exp (* -2 x))))) (- (* 1 1)))))
452.0ms
(log (exp (fma (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ (cbrt 2) (cbrt (+ 1 (exp (* -2 x))))) (- (* (sqrt 1) (sqrt 1))))))

prune3.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

3.7b
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
3.7b
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
3.7b
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
3.7b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite576.0ms

Algorithm
rewrite-expression-head
Rules
280×*-un-lft-identity
230×add-sqr-sqrt
216×prod-diff
186×add-cube-cbrt
177×log-prod
168×times-frac exp-sum
39×distribute-lft-out
33×log-pow
30×exp-prod
26×associate-/r/
18×fma-neg
16×difference-of-squares
13×flip3-+ flip-+ div-inv
8×difference-of-sqr-1
7×pow1 add-exp-log
6×add-log-exp
4×expm1-log1p-u sub-neg add-cbrt-cube insert-posit16 log1p-expm1-u distribute-lft-out--
3×log-div exp-diff rem-log-exp
2×expm1-def
1×flip3-- diff-log div-exp flip--
Counts
4 → 342
Calls
4 calls:
Slowest
168.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
168.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
143.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
87.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series330.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
88.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
88.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
80.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
73.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))

simplify1.3m

Counts
363 → 354
Calls
363 calls:
Slowest
752.0ms
(log (exp (fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) (- (* 1 1)))))
703.0ms
(log (exp (fma (/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x))))) (/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x))))) (- (* 1 1)))))
584.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
530.0ms
(log (exp (fma (/ (* (cbrt 2) (cbrt 2)) 1) (/ (cbrt 2) (+ 1 (exp (* -2 x)))) (- (* 1 1)))))
512.0ms
(log (exp (fma (/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x))))) (- 1 (exp (* -2 x))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))))

prune6.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

3.7b
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
3.7b
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
3.7b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
3.7b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
292×*-un-lft-identity
236×add-sqr-sqrt
216×prod-diff
192×add-cube-cbrt
180×times-frac
118×log-prod
112×exp-sum
42×distribute-lft-out
36×fma-neg
28×associate-/r/
22×log-pow
20×exp-prod
16×difference-of-squares
14×flip3-+ flip-+ div-inv
10×add-exp-log
8×difference-of-sqr-1 add-log-exp
6×pow1
4×expm1-log1p-u expm1-def sub-neg add-cbrt-cube insert-posit16 log1p-expm1-u distribute-lft-out--
2×log-div flip3-- exp-diff diff-log div-exp rem-log-exp flip--
Counts
4 → 356
Calls
4 calls:
Slowest
579.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
200.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
116.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
97.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series303.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
89.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
80.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
71.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
63.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))

simplify1.2m

Counts
430 → 368
Calls
430 calls:
Slowest
804.0ms
(log (exp (fma (/ 1 (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ 2 (cbrt (+ 1 (exp (* -2 x))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))))
583.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))
567.0ms
(fma 1 (/ 2 (+ 1 (exp (* -2 x)))) (- (* 1 1)))
545.0ms
(log (exp (fma (/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ 1 (exp (* -2 x)))) (cbrt (+ 1 (exp (* -2 x)))))) (/ (cbrt 2) (cbrt (+ 1 (exp (* -2 x))))) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))))
509.0ms
(/ 2 (- (* 1 1) (* (exp (* -2 x)) (exp (* -2 x)))))

prune9.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes170.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.4b

bsearch301.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s1736×body1280valid
603.0ms1255×body640valid
400.0ms4088×body80valid
168.0ms604×body320valid
56.0ms317×body160valid