Details

Time bar (total: 5.4s)

sample29.0ms

Algorithm
intervals
Results
15.0ms329×body80valid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0224
1464
21214
32584
44344
56874
619574
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.1b
(/ (* x (+ (- y z) 1.0)) z)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
41.0ms
(* x (+ (- y z) 1.0))
18.0ms
(/ (* x (+ (- y z) 1.0)) z)

series79.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (+ (- y z) 1.0))
44.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0262303
11268253
25002253

prune124.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
4.5b
(/ x (/ z (+ (- y z) 1.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
18.0ms
(/ z (+ (- y z) 1.0))
23.0ms
(/ x (/ z (+ (- y z) 1.0)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ z (+ (- y z) 1.0))
49.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify76.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04631195
121431142
250011140

prune322.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
0.2b
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
4.5b
(/ (/ z (+ (- y z) 1.0)) x)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
595×*-un-lft-identity
335×add-sqr-sqrt add-cube-cbrt
104×distribute-lft-out
75×associate-/r*
52×distribute-lft-out--
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 441
Calls
3 calls:
18.0ms
(/ z (+ (- y z) 1.0))
38.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
32.0ms
(/ (/ z (+ (- y z) 1.0)) x)

series160.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ z (+ (- y z) 1.0))
43.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
68.0ms
(/ (/ z (+ (- y z) 1.0)) x)

simplify90.0ms

Algorithm
egg-herbie
Counts
450 → 450
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
012854886
150014399

prune848.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
0.2b
(/ (/ 1 (+ (- y z) 1.0)) x)
8.4b
(/ (/ 1 z) (/ (/ 1 (+ (- y z) 1.0)) x))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
3133×times-frac
1943×*-un-lft-identity
1233×add-sqr-sqrt add-cube-cbrt
284×distribute-lft-out
142×distribute-lft-out--
131×div-inv
95×associate-/r/
81×add-exp-log
75×associate-/r*
62×div-exp
47×flip3-+ flip-+
37×associate-/l*
31×add-cbrt-cube
19×cbrt-undiv
11×rec-exp 1-exp
4×pow1
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/l/
1×pow-flip inv-pow
Counts
3 → 1140
Calls
3 calls:
19.0ms
(/ 1 (+ (- y z) 1.0))
38.0ms
(/ (/ 1 (+ (- y z) 1.0)) x)
52.0ms
(/ (/ 1 z) (/ (/ 1 (+ (- y z) 1.0)) x))

series147.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ 1 (+ (- y z) 1.0))
51.0ms
(/ (/ 1 (+ (- y z) 1.0)) x)
50.0ms
(/ (/ 1 z) (/ (/ 1 (+ (- y z) 1.0)) x))

simplify257.0ms

Algorithm
egg-herbie
Counts
1149 → 1149
Iterations

Useful iterations: 1 (78.0ms)

IterNodesCost
0423517797
1500216679

prune1.6s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes147.0ms

Accuracy

88.6% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.1b

bsearch62.0ms

Steps
ItersRangePoint
7
1.3066040367729937e-57
3.5886426209352073e-56
4.5427626806470244e-57
5
-1.982396285212389e+70
-6.85877489184368e+69
-6.972021004646105e+69

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0218
1218

end0.0ms

sample689.0ms

Algorithm
intervals
Results
478.0ms10115×body80valid