Details

Time bar (total: 2.8s)

sample22.0ms

Algorithm
intervals
Results
11.0ms323×body80valid

simplify142.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0144
1284
2513
3903
41503
52143
63083
74473
85503
98653
1012313
1117253
1227283
1344663
1450013

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y x) z)
6.1b
(/ (* (- y x) z) t)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*l*
4×pow1 associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
16.0ms
(* (- y x) z)
11.0ms
(/ (* (- y x) z) t)

series90.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- y x) z)
62.0ms
(/ (* (- y x) z) t)

simplify31.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0232228
1955189
25001189

prune118.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

7.2b
(/ (- y x) (/ t z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
85×add-sqr-sqrt *-un-lft-identity
57×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×div-inv
6×add-exp-log add-cbrt-cube
5×associate-/l*
3×cbrt-undiv div-exp
2×associate-/l/
1×pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num associate-/r/ flip-- log1p-expm1-u add-log-exp
Counts
1 → 103
Calls
1 calls:
14.0ms
(/ (- y x) (/ t z))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ (- y x) (/ t z))

simplify49.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0544864
12007827
25001826

prune265.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

7.2b
(* (- y x) (/ z t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*l*
3×pow1
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 40
Calls
1 calls:
14.0ms
(* (- y x) (/ z t))

series45.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (- y x) (/ z t))

simplify33.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0242222
11043201
25001195

prune94.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
5.5b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 102
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
0.0ms
(cbrt t)
29.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt t)
180.0ms
(cbrt t)
205.0ms
(cbrt t)
77.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0459851
12238696
25001661

prune331.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

-6% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch41.0ms

Steps
ItersRangePoint
4
5.5058666383326476e-45
1.0349378346336525e-44
5.86993056876951e-45
6
-5.4623579008395114e-201
-1.3338191908175047e-201
-1.5028999843123688e-201

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0289
1289

end0.0ms

sample558.0ms

Algorithm
intervals
Results
292.0ms10642×body80valid