Details

Time bar (total: 6.7s)

sample19.0ms

Algorithm
intervals
Results
6.0ms275×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1254
2494
3784
41164
51414
61624
71754
81834
91874
101914
113024
123404
133664
144644
155334
166154
177214
188154
198244
208244

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
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×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
26.0ms
(/ (- x y) (- z y))
44.0ms
(* (/ (- x y) (- z y)) t)

series150.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- x y) (- z y))
101.0ms
(* (/ (- x y) (- z y)) t)

simplify100.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune226.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
4.1b
(cbrt (/ (- x y) (- z y)))
4.1b
(cbrt (/ (- x y) (- z y)))
4.1b
(cbrt (/ (- x y) (- z y)))

rewrite460.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
15×cbrt-div
13×pow1 add-exp-log
12×associate-*l/
9×add-cbrt-cube
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- pow1/3 associate-*r/ associate-*r* flip-- div-inv
1×associate-*l* *-commutative
Counts
4 → 156
Calls
4 calls:
425.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
9.0ms
(cbrt (/ (- x y) (- z y)))
9.0ms
(cbrt (/ (- x y) (- z y)))
9.0ms
(cbrt (/ (- x y) (- z y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
308.0ms
(cbrt (/ (- x y) (- z y)))
312.0ms
(cbrt (/ (- x y) (- z y)))
313.0ms
(cbrt (/ (- x y) (- z y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04541867
113371693
250011609

prune485.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

4.1b
(cbrt (/ (- x y) (- z y)))
4.1b
(cbrt (/ (- x y) (- z y)))
4.1b
(cbrt (/ (- x y) (- z y)))
4.1b
(cbrt (/ (- x y) (- z y)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
128×add-sqr-sqrt *-un-lft-identity
124×cbrt-prod
100×times-frac
48×add-cube-cbrt
40×distribute-lft-out-- difference-of-squares
8×associate-/r/
4×pow1 add-exp-log expm1-log1p-u cbrt-div flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u div-inv add-log-exp
Counts
4 → 168
Calls
4 calls:
9.0ms
(cbrt (/ (- x y) (- z y)))
9.0ms
(cbrt (/ (- x y) (- z y)))
13.0ms
(cbrt (/ (- x y) (- z y)))
9.0ms
(cbrt (/ (- x y) (- z y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt (/ (- x y) (- z y)))
313.0ms
(cbrt (/ (- x y) (- z y)))
311.0ms
(cbrt (/ (- x y) (- z y)))
308.0ms
(cbrt (/ (- x y) (- z y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
03021812
16571776
222361768
350021728

prune657.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×associate-*r*
26×times-frac
18×add-cube-cbrt
16×add-exp-log
12×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp associate-/r/ unswap-sqr
1×flip3-- associate-*r/ associate-*l* *-commutative flip-- div-inv
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
64.0ms
(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

series802.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt t)
183.0ms
(cbrt t)
183.0ms
(cbrt t)
249.0ms
(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0360631
11808496
25001483

prune275.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes203.0ms

Accuracy

0.4% (1.9b remaining)

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

bsearch50.0ms

Steps
ItersRangePoint
6
1.5105906695219265e-189
6.732167410216168e-189
3.2243822314781527e-189
7
-4.907254476144246e-102
-2.2562448575670015e-104
-2.2985207859465633e-104

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample511.0ms

Algorithm
intervals
Results
211.0ms8718×body80valid