Details

Time bar (total: 4.2s)

sample32.0ms

Algorithm
intervals
Results
21.0ms267×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1398
2648
31158
42078
54658
613378
750018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(- (* y z) x)
0.7b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.4b
(/ (- (* y z) x) (- (* t z) x))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
25×times-frac
24×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
6×prod-diff
4×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
3×div-sub
2×cbrt-undiv sub-neg frac-2neg flip3-+ fma-neg diff-log div-exp clear-num flip-+ div-inv
1×associate-+r-
Counts
4 → 113
Calls
4 calls:
3.0ms
(- (* t z) x)
3.0ms
(- (* y z) x)
57.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms
(/ (- (* y z) x) (- (* t z) x))

series211.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (* t z) x)
20.0ms
(- (* y z) x)
112.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
55.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify59.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
04621042
12015941
25001941

prune306.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
2.4b
(/ y (- (* t z) x))
3.0b
(fma (/ y (- (* t z) x)) z x)
3.2b
(/ x (- (* t z) x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×times-frac
15×add-exp-log
13×add-cbrt-cube
9×associate-/l*
7×associate-/r*
6×associate-/r/
5×div-exp
4×pow1 cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num div-inv
2×flip3-- associate-*l/ prod-exp flip--
1×flip3-+ 1-exp cbrt-unprod flip-+ fma-udef
Counts
4 → 98
Calls
4 calls:
5.0ms
(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
6.0ms
(/ y (- (* t z) x))
0.0ms
(fma (/ y (- (* t z) x)) z x)
6.0ms
(/ x (- (* t z) x))

series226.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
30.0ms
(/ y (- (* t z) x))
51.0ms
(fma (/ y (- (* t z) x)) z x)
59.0ms
(/ x (- (* t z) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0423735
11590652
25001650

prune333.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.4b
(/ 1 (- (* t z) x))
0.7b
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
9.1b
(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
37×add-sqr-sqrt
32×times-frac
30×add-cube-cbrt
19×add-exp-log
15×associate-*r*
13×add-cbrt-cube
7×pow1 associate-/r*
6×associate-/r/ associate-/l* add-log-exp
5×flip3-- div-exp flip--
4×expm1-log1p-u prod-exp log1p-expm1-u distribute-lft-out
3×cbrt-undiv associate-*l* prod-diff div-inv unswap-sqr
2×frac-times rec-exp frac-2neg flip3-+ 1-exp associate-*l/ clear-num cbrt-unprod flip-+ associate-/l/
1×sub-neg pow-flip fma-neg diff-log associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 134
Calls
4 calls:
3.0ms
(- (* y z) x)
6.0ms
(/ 1 (- (* t z) x))
11.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
24.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

series258.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (* y z) x)
22.0ms
(/ 1 (- (* t z) x))
148.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
65.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify73.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05121208
123991067
250011035

prune339.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.7b
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.7b
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
9.3b
(/ (- (* t z) x) (- (* y z) x))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
95×*-un-lft-identity
68×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
19×add-exp-log
16×distribute-lft-out
13×associate-/r/ add-cbrt-cube
12×div-inv
11×associate-/l*
9×div-exp
7×flip3-- flip--
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u associate-/l/
3×frac-2neg prod-diff clear-num
2×rec-exp flip3-+ 1-exp flip-+
1×sub-neg pow-flip fma-neg diff-log div-sub inv-pow
Counts
4 → 185
Calls
4 calls:
3.0ms
(- (* y z) x)
90.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
12.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
12.0ms
(/ (- (* t z) x) (- (* y z) x))

series303.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (* y z) x)
143.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
81.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
59.0ms
(/ (- (* t z) x) (- (* y z) x))

simplify92.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06762096
133311893
250011810

prune378.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.7b

regimes180.0ms

Accuracy

58.4% (2.8b remaining)

Error of 3.2b against oracle of 0.4b and baseline of 7.1b

bsearch106.0ms

Steps
ItersRangePoint
7
1.7374814237604642e+86
3.0373994670752316e+87
3.755961250635276e+86
10
-6.243345247758644e+135
-5.857956913475479e+125
-1.2646983877022145e+132

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03513
13513

end0.0ms

sample938.0ms

Algorithm
intervals
Results
714.0ms8330×body80valid