Details

Time bar (total: 2.3s)

sample19.0ms

Algorithm
intervals
Results
8.0ms329×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1464
21214
32584
44344
56874
619574
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite20.0ms

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:
9.0ms
(* x (+ (- y z) 1.0))
10.0ms
(/ (* x (+ (- y z) 1.0)) z)

series84.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (+ (- y z) 1.0))
49.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0262303
11268253
25002253

prune131.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
4.1b
(/ x (/ z (+ (- y z) 1.0)))

rewrite30.0ms

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:
11.0ms
(/ z (+ (- y z) 1.0))
12.0ms
(/ x (/ z (+ (- y z) 1.0)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ z (+ (- y z) 1.0))
46.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
04631195
121431142
250011140

prune290.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
4.1b
(/ x (pow (/ z (+ (- y z) 1.0)) 1))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
158×*-un-lft-identity
150×times-frac
84×unpow-prod-down
78×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
30×associate-/r*
16×distribute-lft-out--
12×add-exp-log
10×associate-/r/
6×div-exp add-cbrt-cube div-inv associate-/l*
5×flip3-+ flip-+
4×sqr-pow
2×pow1 cbrt-undiv expm1-log1p-u frac-2neg pow-exp clear-num log1p-expm1-u add-log-exp
1×pow-to-exp
Counts
2 → 159
Calls
2 calls:
8.0ms
(/ z (+ (- y z) 1.0))
14.0ms
(/ x (pow (/ z (+ (- y z) 1.0)) 1))

series94.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ z (+ (- y z) 1.0))
48.0ms
(/ x (pow (/ z (+ (- y z) 1.0)) 1))

simplify71.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04931511
121851281
250011269

prune314.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
4.2b
(* x (/ (+ (- y z) 1.0) z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 80
Calls
2 calls:
8.0ms
(/ (+ (- y z) 1.0) z)
12.0ms
(* x (/ (+ (- y z) 1.0) z))

series70.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (+ (- y z) 1.0) z)
45.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify42.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0274497
11191450
25001447

prune150.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes98.0ms

Accuracy

97.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.3b

bsearch61.0ms

Steps
ItersRangePoint
5
3.4535201554271017e-08
1.0911684528208986e-07
8.264702531127808e-08
8
-1827977.1926269082
-30.883936201328435
-159.56615624190854

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample460.0ms

Algorithm
intervals
Results
254.0ms10108×body80valid